Log in

Relevant bibliographies by topics / Inverse method / Journal articles

To see the other types of publications on this topic, follow the link: Inverse method.

Journal articles on the topic 'Inverse method'

Author: Grafiati

Published: 4 June 2021

Last updated: 22 June 2024

Create a spot-on reference in APA, MLA, Chicago, Harvard, and other styles

Select a source type:

Consult the top 50 journal articles for your research on the topic 'Inverse method.'

Next to every source in the list of references, there is an 'Add to bibliography' button. Press on it, and we will generate automatically the bibliographic reference to the chosen work in the citation style you need: APA, MLA, Harvard, Chicago, Vancouver, etc.

You can also download the full text of the academic publication as pdf and read online its abstract whenever available in the metadata.

Browse journal articles on a wide variety of disciplines and organise your bibliography correctly.

1

K.C. Mishra, K. C. Mishra. "Inverse Homotopy Perturbation Method for Nonlinear systems." International Journal of Scientific Research 2, no. 4 (June 1, 2012): 61–64. http://dx.doi.org/10.15373/22778179/apr2013/86.

Full text

APA, Harvard, Vancouver, ISO, and other styles

2

Prasad, K. Manjunatha, and M. David Raj. "Bordering method to compute Core-EP inverse." Special Matrices 6, no. 1 (April 1, 2018): 193–200. http://dx.doi.org/10.1515/spma-2018-0016.

Full text

Abstract:

Abstract Following the work of Kentaro Nomakuchi[10] and Manjunatha Prasad et.al., [7] which relate various generalized inverses of a given matrix with suitable bordering,we describe the explicit bordering required to obtain core-EP inverse, core-EP generalized inverse. The main result of the paper also leads to provide a characterization of Drazin index in terms of bordering.

APA, Harvard, Vancouver, ISO, and other styles

3

Wei, Wang Tian, Xue Xing Heng, and Liu Ru Xun. "Filtering inverse method." Inverse Problems 3, no. 1 (February 1, 1987): 143–48. http://dx.doi.org/10.1088/0266-5611/3/1/016.

Full text

APA, Harvard, Vancouver, ISO, and other styles

4

Soleymani, F., M. Sharifi, and S. Shateyi. "Approximating the Inverse of a Square Matrix with Application in Computation of the Moore-Penrose Inverse." Journal of Applied Mathematics 2014 (2014): 1–8. http://dx.doi.org/10.1155/2014/731562.

Full text

Abstract:

This paper presents a computational iterative method to find approximate inverses for the inverse of matrices. Analysis of convergence reveals that the method reaches ninth-order convergence. The extension of the proposed iterative method for computing Moore-Penrose inverse is furnished. Numerical results including the comparisons with different existing methods of the same type in the literature will also be presented to manifest the superiority of the new algorithm in finding approximate inverses.

APA, Harvard, Vancouver, ISO, and other styles

5

Wolff, Mareille, and Jens Bange. "Inverse method as an analysing tool for airborne measurements." Meteorologische Zeitschrift 9, no. 6 (December 21, 2000): 361–76. http://dx.doi.org/10.1127/metz/9/2000/361.

Full text

APA, Harvard, Vancouver, ISO, and other styles

6

Oldenburg, D. W., and Yaoguo Li. "Subspace linear inverse method." Inverse Problems 10, no. 4 (August 1, 1994): 915–35. http://dx.doi.org/10.1088/0266-5611/10/4/011.

Full text

APA, Harvard, Vancouver, ISO, and other styles

7

D??Dârlat, D., M. Chirtoc, C. Nema??u, R. M. Cândea, and D. Bicanic. "Inverse Photopyroelectric Detection Method." physica status solidi (a) 121, no. 2 (October 16, 1990): K231—K234. http://dx.doi.org/10.1002/pssa.2211210259.

Full text

APA, Harvard, Vancouver, ISO, and other styles

8

Artidiello, Santiago, Alicia Cordero, Juan R. Torregrosa, and María P. Vassileva. "Generalized Inverses Estimations by Means of Iterative Methods with Memory." Mathematics 8, no. 1 (December 18, 2019): 2. http://dx.doi.org/10.3390/math8010002.

Full text

Abstract:

A secant-type method is designed for approximating the inverse and some generalized inverses of a complex matrix A. For a nonsingular matrix, the proposed method gives us an approximation of the inverse and, when the matrix is singular, an approximation of the Moore–Penrose inverse and Drazin inverse are obtained. The convergence and the order of convergence is presented in each case. Some numerical tests allowed us to confirm the theoretical results and to compare the performance of our method with other known ones. With these results, the iterative methods with memory appear for the first time for estimating the solution of a nonlinear matrix equations.

APA, Harvard, Vancouver, ISO, and other styles

9

Bin Jebreen, Haifa, and Yurilev Chalco-Cano. "An Improved Computationally Efficient Method for Finding the Drazin Inverse." Discrete Dynamics in Nature and Society 2018 (October 17, 2018): 1–8. http://dx.doi.org/10.1155/2018/6758302.

Full text

Abstract:

Drazin inverse is one of the most significant inverses in the matrix theory, where its computation is an intensive and useful task. The objective of this work is to propose a computationally effective iterative scheme for finding the Drazin inverse. The convergence is investigated analytically by applying a suitable initial matrix. The theoretical discussions are upheld by several experiments showing the stability and convergence of the proposed method.

APA, Harvard, Vancouver, ISO, and other styles

10

Hendriko, Hendriko, Nurkhamdi Nurkhamdi, Jajang Jaenudin, and Imam M. Muthahar. "Analytical Based Inverse Kinematics Method for 5-axis Delta Robot." International Journal of Materials, Mechanics and Manufacturing 6, no. 4 (August 2018): 264–67. http://dx.doi.org/10.18178/ijmmm.2018.6.4.388.

Full text

APA, Harvard, Vancouver, ISO, and other styles

11

Venkata Sai Jitin, Jami Naga, and Atul Ramesh Bhagat. "Inverse conduction method using finite difference method." IOP Conference Series: Materials Science and Engineering 377 (June 2018): 012015. http://dx.doi.org/10.1088/1757-899x/377/1/012015.

Full text

APA, Harvard, Vancouver, ISO, and other styles

12

Limache, Alejandro C. "Inverse method for airfoil design." Journal of Aircraft 32, no. 5 (September 1995): 1001–11. http://dx.doi.org/10.2514/3.46829.

Full text

APA, Harvard, Vancouver, ISO, and other styles

13

Zhou, Mi, and Hairui Liu. "Inverse HuaLuogeng’s “Exception Set” Method." Journal of Physics: Conference Series 1593 (July 2020): 012004. http://dx.doi.org/10.1088/1742-6596/1593/1/012004.

Full text

APA, Harvard, Vancouver, ISO, and other styles

14

Lam, Chi-Hang, and Leonard M. Sander. "Inverse method for interface problems." Physical Review Letters 71, no. 4 (July 26, 1993): 561–64. http://dx.doi.org/10.1103/physrevlett.71.561.

Full text

APA, Harvard, Vancouver, ISO, and other styles

15

Tapia, Richard A., J. E. Dennis, and Jan P. Schäfermeyer. "Inverse, Shifted Inverse, and Rayleigh Quotient Iteration as Newton's Method." SIAM Review 60, no. 1 (January 2018): 3–55. http://dx.doi.org/10.1137/15m1049956.

Full text

APA, Harvard, Vancouver, ISO, and other styles

16

Chew, W. C., Y. M. Wang, G. Otto, D. Lesselier, and J. C. Bolomey. "On the inverse source method of solving inverse scattering problems." Inverse Problems 10, no. 3 (June 1, 1994): 547–53. http://dx.doi.org/10.1088/0266-5611/10/3/004.

Full text

APA, Harvard, Vancouver, ISO, and other styles

17

Yang, Inchul, Woo Hoon Jeon, and Jaepil Moon. "A study on a distance based coordinate calculation method using Inverse Haversine Method." Journal of Digital Contents Society 20, no. 10 (October 31, 2019): 2097–102. http://dx.doi.org/10.9728/dcs.2019.20.10.2097.

Full text

APA, Harvard, Vancouver, ISO, and other styles

18

Aliev, Araz, Khanlar Hamzaev, Nigar Ismayilova, Eldar Jahangirbayov, Farid Jafarov, and Rahman Mammadov. "PARALLEL NUMERICAL METHOD OF AN INVERSE PROBLEM OF DOUBLE-PHASED FILTRATION." Azerbaijan Journal of High Performance Computing 2, no. 1 (June 30, 2019): 75–81. http://dx.doi.org/10.32010/26166127.2019.2.1.75.81.

Full text

APA, Harvard, Vancouver, ISO, and other styles

19

Kyrchei, Ivan I. "Determinantal Representations of the Core Inverse and Its Generalizations with Applications." Journal of Mathematics 2019 (October 1, 2019): 1–13. http://dx.doi.org/10.1155/2019/1631979.

Full text

Abstract:

In this paper, we give the direct method to find of the core inverse and its generalizations that is based on their determinantal representations. New determinantal representations of the right and left core inverses, the right and left core-EP inverses, and the DMP, MPD, and CMP inverses are derived by using determinantal representations of the Moore-Penrose and Drazin inverses previously obtained by the author. Since the Bott-Duffin inverse has close relation with the core inverse, we give its determinantal representation and its application in finding solutions of the constrained linear equations that is an analog of Cramer’s rule. A numerical example to illustrate the main result is given.

APA, Harvard, Vancouver, ISO, and other styles

20

Amat, Sergio, Sonia Busquier, Miguel Ángel Hernández-Verón, and Ángel Alberto Magreñán. "On High-Order Iterative Schemes for the Matrix pth Root Avoiding the Use of Inverses." Mathematics 9, no. 2 (January 11, 2021): 144. http://dx.doi.org/10.3390/math9020144.

Full text

Abstract:

This paper is devoted to the approximation of matrix pth roots. We present and analyze a family of algorithms free of inverses. The method is a combination of two families of iterative methods. The first one gives an approximation of the matrix inverse. The second family computes, using the first method, an approximation of the matrix pth root. We analyze the computational cost and the convergence of this family of methods. Finally, we introduce several numerical examples in order to check the performance of this combination of schemes. We conclude that the method without inverse emerges as a good alternative since a similar numerical behavior with smaller computational cost is obtained.

APA, Harvard, Vancouver, ISO, and other styles

21

Amat, Sergio, Sonia Busquier, Miguel Ángel Hernández-Verón, and Ángel Alberto Magreñán. "On High-Order Iterative Schemes for the Matrix pth Root Avoiding the Use of Inverses." Mathematics 9, no. 2 (January 11, 2021): 144. http://dx.doi.org/10.3390/math9020144.

Full text

Abstract:

This paper is devoted to the approximation of matrix pth roots. We present and analyze a family of algorithms free of inverses. The method is a combination of two families of iterative methods. The first one gives an approximation of the matrix inverse. The second family computes, using the first method, an approximation of the matrix pth root. We analyze the computational cost and the convergence of this family of methods. Finally, we introduce several numerical examples in order to check the performance of this combination of schemes. We conclude that the method without inverse emerges as a good alternative since a similar numerical behavior with smaller computational cost is obtained.

APA, Harvard, Vancouver, ISO, and other styles

22

Soleymani, F., and Predrag S. Stanimirović. "A Higher Order Iterative Method for Computing the Drazin Inverse." Scientific World Journal 2013 (2013): 1–11. http://dx.doi.org/10.1155/2013/708647.

Full text

Abstract:

A method with high convergence rate for finding approximate inverses of nonsingular matrices is suggested and established analytically. An extension of the introduced computational scheme to general square matrices is defined. The extended method could be used for finding the Drazin inverse. The application of the scheme on large sparse test matrices alongside the use in preconditioning of linear system of equations will be presented to clarify the contribution of the paper.

APA, Harvard, Vancouver, ISO, and other styles

23

Dominici, Diego. "Nested derivatives: a simple method for computing series expansions of inverse functions." International Journal of Mathematics and Mathematical Sciences 2003, no. 58 (2003): 3699–715. http://dx.doi.org/10.1155/s0161171203303291.

Full text

Abstract:

We give an algorithm to compute the series expansion for the inverse of a given function. The algorithm is extremely easy to implement and gives the firstNterms of the series. We show several examples of its application in calculating the inverses of some special functions.

APA, Harvard, Vancouver, ISO, and other styles

24

Favorite, J. A., and R. Sanchez. "An inverse method for radiation transport." Radiation Protection Dosimetry 116, no. 1-4 (December 20, 2005): 482–85. http://dx.doi.org/10.1093/rpd/nci204.

Full text

APA, Harvard, Vancouver, ISO, and other styles

25

Pearson, D. B., and P. L. I. Skelton. "The Inverse Method for Transfer Matrices." Journal of the London Mathematical Society s2-40, no. 3 (December 1989): 476–89. http://dx.doi.org/10.1112/jlms/s2-40.3.476.

Full text

APA, Harvard, Vancouver, ISO, and other styles

26

Gao, He, and Jie Zhu. "Inverse design method for acoustic metamaterials." Journal of the Acoustical Society of America 146, no. 4 (October 2019): 2828. http://dx.doi.org/10.1121/1.5136799.

Full text

APA, Harvard, Vancouver, ISO, and other styles

27

Voller, V. R. "ENTHALPY METHOD FOR INVERSE STEFAN PROBLEMS." Numerical Heat Transfer, Part B: Fundamentals 21, no. 1 (January 1992): 41–55. http://dx.doi.org/10.1080/10407799208944921.

Full text

APA, Harvard, Vancouver, ISO, and other styles

28

Shamma, J. S., and D. E. Whitney. "A Method for Inverse Robot Calibration." Journal of Dynamic Systems, Measurement, and Control 109, no. 1 (March 1, 1987): 36–43. http://dx.doi.org/10.1115/1.3143817.

Full text

Abstract:

A method is described for the inverse calibration of a manipulator or robot. Inverse calibration is defined to be finding the joint angles necessary to drive a robot to a desired endpoint location. The joint angles recommended by the robot controller’s internal model will not, in general, drive the robot to the desired location because of inaccuracies in this model. Inverse calibration seeks to reduce the error. Unlike previous work in calibration, the method reported here does not require modeling any specific phenomena that may cause the error; hence it is not limited in accuracy by inability to identify all the error sources. The method consists of finding approximation functions by which corrections are made to the encoder readings recommended by the robot’s internal model. These functions are found by measuring the error at discrete locations throughout a region of the robot’s workspace and then least-squares fitting third order trivariate polynomials to the error samples. A forward calibration (one which reports actual tool location from given encoder readings) based on the above method is also described. The inverse calibration is tested on a six DOF PUMA simulation. Results show that the endpoint location error can be reduced from an average of about 1.2 mm down to an average of about 0.12 mm.

APA, Harvard, Vancouver, ISO, and other styles

29

Soykasap, Ömer. "Inverse method in tilt-rotor optimization." Aerospace Science and Technology 5, no. 7 (October 2001): 437–44. http://dx.doi.org/10.1016/s1270-9638(01)01117-8.

Full text

APA, Harvard, Vancouver, ISO, and other styles

30

Maniatty, Antoinette, and Nicholas Zabaras. "Method for Solving Inverse Elastoviscoplastic Problems." Journal of Engineering Mechanics 115, no. 10 (October 1989): 2216–31. http://dx.doi.org/10.1061/(asce)0733-9399(1989)115:10(2216).

Full text

APA, Harvard, Vancouver, ISO, and other styles

31

Zamov, N. K. "Maslov's inverse method and decidable classes." Annals of Pure and Applied Logic 42, no. 2 (April 1989): 165–94. http://dx.doi.org/10.1016/0168-0072(89)90053-5.

Full text

APA, Harvard, Vancouver, ISO, and other styles

32

Osipov, A. I., L. A. Shelepin, and S. L. Shelepin. "Inverse problem method in laser physics." Journal of Russian Laser Research 26, no. 2 (March 2005): 116–36. http://dx.doi.org/10.1007/s10946-005-0011-7.

Full text

APA, Harvard, Vancouver, ISO, and other styles

33

Pshenichnyi, B. N., and L. A. Sobolenko. "Linearization method for inverse convex programming." Cybernetics and Systems Analysis 31, no. 6 (November 1995): 852–62. http://dx.doi.org/10.1007/bf02366622.

Full text

APA, Harvard, Vancouver, ISO, and other styles

34

Leonov, A. S. "The minimal pseudo-inverse matrix method." USSR Computational Mathematics and Mathematical Physics 27, no. 4 (January 1987): 107–17. http://dx.doi.org/10.1016/0041-5553(87)90019-x.

Full text

APA, Harvard, Vancouver, ISO, and other styles

35

Dinariev, O. Yu, and A. B. Mosolov. "Inverse problem method for Burgers' equation." Ukrainian Mathematical Journal 41, no. 7 (July 1989): 827–29. http://dx.doi.org/10.1007/bf01060703.

Full text

APA, Harvard, Vancouver, ISO, and other styles

36

Liu, Juan, and Jiguang Sun. "Extended sampling method in inverse scattering." Inverse Problems 34, no. 8 (June 22, 2018): 085007. http://dx.doi.org/10.1088/1361-6420/aaca90.

Full text

APA, Harvard, Vancouver, ISO, and other styles

37

Ternovskii, V. V., and M. M. Khapaev. "Inverse problem method in optimal control." Doklady Mathematics 83, no. 3 (June 2011): 357–60. http://dx.doi.org/10.1134/s1064562411030318.

Full text

APA, Harvard, Vancouver, ISO, and other styles

38

Liu, Yi, Fang-Fang Yin, and Qinghuai Gao. "Variation method for inverse treatment planning." Medical Physics 26, no. 3 (March 1999): 356–63. http://dx.doi.org/10.1118/1.598525.

Full text

APA, Harvard, Vancouver, ISO, and other styles

39

Zhang, Yuan, Zengqiang Chen, Peng Yang, and Zhuzhi Yuan. "Nonlinear system compound inverse control method." Journal of Control Theory and Applications 3, no. 3 (August 2005): 218–22. http://dx.doi.org/10.1007/s11768-005-0038-x.

Full text

APA, Harvard, Vancouver, ISO, and other styles

40

Daripa, Prabir K., and Lawrence Sirovich. "An inverse method for subcritical flows." Journal of Computational Physics 63, no. 2 (April 1986): 311–28. http://dx.doi.org/10.1016/0021-9991(86)90196-8.

Full text

APA, Harvard, Vancouver, ISO, and other styles

41

A. Gravvanis, George, and Christos K. Filelis-Papadopoulos. "On the multigrid cycle strategy with approximate inverse smoothing." Engineering Computations 31, no. 1 (February 25, 2014): 110–22. http://dx.doi.org/10.1108/ec-03-2012-0055.

Full text

Abstract:

Purpose – The purpose of this paper is to propose multigrid methods in conjunction with explicit approximate inverses with various cycles strategies and comparison with the other smoothers. Design/methodology/approach – The main motive for the derivation of the various multigrid schemes lies in the efficiency of the multigrid methods as well as the explicit approximate inverses. The combination of the various multigrid cycles with the explicit approximate inverses as smoothers in conjunction with the dynamic over/under relaxation (DOUR) algorithm results in efficient schemes for solving large sparse linear systems derived from the discretization of partial differential equations (PDE). Findings – Application of the proposed multigrid methods on two-dimensional boundary value problems is discussed and numerical results are given concerning the convergence behavior and the convergence factors. The results are comparatively better than the V-cycle multigrid schemes presented in a recent report (Filelis-Papadopoulos and Gravvanis). Research limitations/implications – The limitations of the proposed scheme lie in the fact that the explicit finite difference approximate inverse matrix used as smoother in the multigrid method is a preconditioner for specific sparsity pattern. Further research is carried out in order to derive a generic explicit approximate inverse for any type of sparsity pattern. Originality/value – A novel smoother for the geometric multigrid method is proposed, based on optimized banded approximate inverse matrix preconditioner, the Richardson method in conjunction with the DOUR scheme, for solving large sparse linear systems derived from finite difference discretization of PDEs. Moreover, the applicability and convergence behavior of the proposed scheme is examined based on various cycles and comparative results are given against the damped Jacobi smoother.

APA, Harvard, Vancouver, ISO, and other styles

42

Yang, Fan, and Wei Zhu Yang. "Data Interpolation Methods by Inverse Distance Weighted Average Method between Multidisciplines." Advanced Materials Research 1044-1045 (October 2014): 620–23. http://dx.doi.org/10.4028/www.scientific.net/amr.1044-1045.620.

Full text

Abstract:

In this article, to handle data exchange between different grid systems efficiently and accuracy, the accuracy of inverse distance weighted average method is researched by different searching radius and exponent parameter. The result is compared with other two interpolation methods, radial basis function interpolation and local triangular projection method. The result shows that the search radius and exponential parameter of inverse distance weighted average interpolation method have not significant influence on interpolation result when radius is large.

APA, Harvard, Vancouver, ISO, and other styles

43

Xu, Qi Hua, Shuai Geng, and Jiao Meng. "SVM Inverse Control Method to Nonlinear Systems." Advanced Materials Research 765-767 (September 2013): 1974–78. http://dx.doi.org/10.4028/www.scientific.net/amr.765-767.1974.

Full text

Abstract:

In recent years, inverse system method has been achieved some progress. However, it needs not only deterministic mathematical model but also analytical expression of the inverse system. They are often not able to be realized for most of the actual control systems. Therefore, it is necessary to combine the inverse system method and the intelligent control methods which are not relied on or not entirely relied on precise model in order to overcome its "bottleneck" in practical application. The application of support vector machine in inverse system method is mainly studied in this paper. Firstly, the rigorous theory of inverse system method is introduced. Secondly, SVM inverse control method is described. Finally, the additional controller is designed to complete the closed-loop control of the pseudo linear systems. Through simulation in MATLAB, the result shows that the method in this paper is effective and feasible.

APA, Harvard, Vancouver, ISO, and other styles

44

Zhu, Tao, Shoune Xiao, Guangwu Yang, Weihua Ma, and Zhixin Zhang. "AN INVERSE DYNAMICS METHOD FOR RAILWAY VEHICLE SYSTEMS." TRANSPORT 29, no. 1 (May 22, 2013): 107–14. http://dx.doi.org/10.3846/16484142.2013.789979.

Full text

Abstract:

The wheel–rail action will obviously be increased during the vehicles in high-speed operation state. However, in many practical cases, direct measurement of the wheel–rail contact forces cannot be performed with traditional procedures and transducers. An inverse mathematical dynamic model for the estimation of wheel–rail contact forces from measured accelerations was developed. The inverse model is a non-iteration recurrence method to identify the time history of input excitation based on the dynamic programming equation. Furthermore, the method overcomes the weakness of large fluctuations which exist in current inverse techniques. Based on the inverse dynamic model, a high-speed vehicle multibody model with twenty-seven Degree of Freedoms (DOFs) is established. With the measured responses as input, the inverse vehicle model can not only identify the responses in other parts of vehicle, but also identify the vertical and lateral wheel–rail forces respectively. Results from the inverse model were compared with experiment data. In a more complex operating condition, the inverse model was also compared with results from simulations calculated by SIMPACK.

APA, Harvard, Vancouver, ISO, and other styles

45

Ostrowski, Z., R. A. Białecki, and A. J. Kassab. "Solving inverse heat conduction problems using trained POD-RBF network inverse method." Inverse Problems in Science and Engineering 16, no. 1 (January 2008): 39–54. http://dx.doi.org/10.1080/17415970701198290.

Full text

APA, Harvard, Vancouver, ISO, and other styles

46

Sheng, Xingping, and Guoliang Chen. "An oblique projection iterative method to compute Drazin inverse and group inverse." Applied Mathematics and Computation 211, no. 2 (May 2009): 417–21. http://dx.doi.org/10.1016/j.amc.2009.01.066.

Full text

APA, Harvard, Vancouver, ISO, and other styles

47

Scascighini, A., A. Troxler, and R. Jeltsch. "A numerical method for inverse design based on the inverse Euler equations." International Journal for Numerical Methods in Fluids 41, no. 4 (2003): 339–55. http://dx.doi.org/10.1002/fld.439.

Full text

APA, Harvard, Vancouver, ISO, and other styles

48

Jiang, J., and T. Dang. "Design Method for Turbomachine Blades With Finite Thickness by the Circulation Method." Journal of Turbomachinery 119, no. 3 (July 1, 1997): 539–43. http://dx.doi.org/10.1115/1.2841155.

Full text

Abstract:

This paper presents a procedure to extend a recently developed three-dimensional inverse method for infinitely thin blades to handle blades with finite thickness. In this inverse method, the prescribed quantities are the blade pressure loading and the blade thickness distributions, and the calculated quantity is the blade mean camber line. The method is formulated in the fully inverse mode whereby the blade shape is determined iteratively using the flow-tangency condition along the blade surfaces. Design calculations are presented for an inlet guide vane, an impulse turbine blade, and a compressor blade in the two-dimensional inviscid- and incompressible-flow limit. Consistency checks are carried out for these design calculations using a panel analysis method and the analytical solution for the Gostelow profile.

APA, Harvard, Vancouver, ISO, and other styles

49

Cordero, Alicia, Javier G. Maimó, Juan R. Torregrosa, and María P. Vassileva. "Improving Newton–Schulz Method for Approximating Matrix Generalized Inverse by Using Schemes with Memory." Mathematics 11, no. 14 (July 18, 2023): 3161. http://dx.doi.org/10.3390/math11143161.

Full text

Abstract:

Some iterative schemes with memory were designed for approximating the inverse of a nonsingular square complex matrix and the Moore–Penrose inverse of a singular square matrix or an arbitrary m×n complex matrix. A Kurchatov-type scheme and Steffensen’s method with memory were developed for estimating these types of inverses, improving, in the second case, the order of convergence of the Newton–Schulz scheme. The convergence and its order were studied in the four cases, and their stability was checked as discrete dynamical systems. With large matrices, some numerical examples are presented to confirm the theoretical results and to compare the results obtained with the proposed methods with those provided by other known ones.

APA, Harvard, Vancouver, ISO, and other styles

50

Gemechu, Diriba. "Sparse Regularization Based on Orthogonal Tensor Dictionary Learning for Inverse Problems." Mathematical Problems in Engineering 2024 (February 15, 2024): 1–24. http://dx.doi.org/10.1155/2024/9655008.

Full text

Abstract:

In seismic data processing, data recovery including reconstruction of the missing trace and removal of noise from the recorded data are the key steps in improving the signal-to-noise ratio (SNR). The reconstruction of seismic data and removal of noise becomes a sparse optimization problem that can be solved by using sparse regularization. Sparse regularization is a key tool in the solution of inverse problems. They are used to introduce prior knowledge and make the approximation of ill-posed inverses feasible. It deals with ill-posedness by replacing an ill-posed inverse problem with a well-posed problem that has a solution close to the true solution. In the last 2 decades, interest has shifted from linear toward nonlinear regularization methods even for linear inverse problems. In inverse problems, regularizations serve as stabilizing the solution of ill-posed inverse problems and give a solution that adequately fits measurements without producing unjustifiably complex artifacts. In this paper, we present a novel sparse regularization based on a tensor-based dictionary method for inverse problems (seismic data interpolation and denoising). This regularization avoids the vectorization step for sparse representation of seismic data during the reconstruction process. The key step in sparsifying signals is the choice of sparsity-promoting dictionary learning. The learning-based approach can adaptively sparsify datasets but has high computational complexity and involves no prior-constraint pattern information for the dataset. Many existing dictionary learning methods would be computationally infeasible for the high dimensional seismic data processing. These methods also destroy the essential information as well as it reduces the discriminability and expressibility of the signal, since they deal with vectorization. In this paper, the orthogonal tensor dictionary learning that learns a dictionary from the input data by employing orthogonality and separability is proposed as sparse regularization for the inverse problems. The performance of the proposed method was validated in seismic data interpolation and denoising individually as well as simultaneously. Numerical examples of synthetic and real seismic datasets demonstrate the validity of the proposed method. The SNR of the recovered data confirms that the proposed method is the most effective method than K-singular value decomposition and orthogonal dictionary learning methods.

APA, Harvard, Vancouver, ISO, and other styles

We offer discounts on all premium plans for authors whose works are included in thematic literature selections. Contact us to get a unique promo code!