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Journal articles on the topic 'Linear homogeneous'

Author: Grafiati

Published: 6 September 2023

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1

S. Mohan, S. Mohan, and Dr S. Sekar Dr. S. Sekar. "Linear Programming Problem with Homogeneous Constraints." Indian Journal of Applied Research 4, no. 3 (October 1, 2011): 298–307. http://dx.doi.org/10.15373/2249555x/mar2014/90.

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2

Zaballa, Ion, and Juan M. Gracia. "On difference linear periodic systems II. Non-homogeneous case." Applications of Mathematics 30, no. 6 (1985): 403–12. http://dx.doi.org/10.21136/am.1985.104170.

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3

Schinzel, A., and M. Zakarczemny. "On a linear homogeneous congruence." Colloquium Mathematicum 106, no. 2 (2006): 283–92. http://dx.doi.org/10.4064/cm106-2-8.

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4

Buck, Matthew. "Non-Linear Homogeneous Differential Polynomials." Computational Methods and Function Theory 12, no. 1 (November 30, 2011): 145–50. http://dx.doi.org/10.1007/bf03321818.

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5

Maxson, C. J., and Marcel Wild. "When are Homogeneous Functions Linear?" Results in Mathematics 47, no. 1-2 (March 2005): 122–29. http://dx.doi.org/10.1007/bf03323017.

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6

Devillers, Alice, and Jean Doyen. "Homogeneous and Ultrahomogeneous Linear Spaces." Journal of Combinatorial Theory, Series A 84, no. 2 (November 1998): 236–41. http://dx.doi.org/10.1006/jcta.1998.2887.

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7

Tunçel, Levent, and Lieven Vandenberghe. "Linear optimization over homogeneous matrix cones." Acta Numerica 32 (May 2023): 675–747. http://dx.doi.org/10.1017/s0962492922000113.

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A convex cone is homogeneous if its automorphism group acts transitively on the interior of the cone. Cones that are homogeneous and self-dual are called symmetric. Conic optimization problems over symmetric cones have been extensively studied, particularly in the literature on interior-point algorithms, and as the foundation of modelling tools for convex optimization. In this paper we consider the less well-studied conic optimization problems over cones that are homogeneous but not necessarily self-dual.We start with cones of positive semidefinite symmetric matrices with a given sparsity pattern. Homogeneous cones in this class are characterized by nested block-arrow sparsity patterns, a subset of the chordal sparsity patterns. Chordal sparsity guarantees that positive define matrices in the cone have zero-fill Cholesky factorizations. The stronger properties that make the cone homogeneous guarantee that the inverse Cholesky factors have the same zero-fill pattern. We describe transitive subsets of the cone automorphism groups, and important properties of the composition of log-det barriers with the automorphisms.Next, we consider extensions to linear slices of the positive semidefinite cone, and review conditions that make such cones homogeneous. An important example is the matrix norm cone, the epigraph of a quadratic-over-linear matrix function. The properties of homogeneous sparse matrix cones are shown to extend to this more general class of homogeneous matrix cones.We then give an overview of the algebraic theory of homogeneous cones due to Vinberg and Rothaus. A fundamental consequence of this theory is that every homogeneous cone admits a spectrahedral (linear matrix inequality) representation.We conclude by discussing the role of homogeneous structure in primal–dual symmetric interior-point methods, contrasting this with the well-developed algorithms for symmetric cones that exploit the strong properties of self-scaled barriers, and with symmetric primal–dual methods for general convex cones.

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8

Neuhaus, Walther. "Mutual Reinsurance and Homogeneous Linear Estimation." ASTIN Bulletin 19, no. 2 (November 1989): 213–21. http://dx.doi.org/10.2143/ast.19.2.2014910.

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AbstractThe technique of risk invariant linear estimation from Neuhaus (1988) has been applied in the construction of a mutual quota share reinsurance pool between the subsidiary companies of the Storebrand Insurance Company, Oslo. The paper describes the construction of the reinsurance scheme.

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9

Kharrat, Thouraya. "Stability of homogeneous non-linear systems." IMA Journal of Mathematical Control and Information 34, no. 2 (September 29, 2015): 451–61. http://dx.doi.org/10.1093/imamci/dnv050.

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10

Ramakrishnan, Fussell, and Silberschatz. "Mapping Homogeneous Graphs on Linear Arrays." IEEE Transactions on Computers C-35, no. 3 (March 1986): 189–209. http://dx.doi.org/10.1109/tc.1986.1676744.

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11

Katriel, Jacob. "Asymptotically trivial linear homogeneous partition inequalities." Journal of Number Theory 184 (March 2018): 107–21. http://dx.doi.org/10.1016/j.jnt.2017.08.012.

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12

Hao Xu, S. M. Conolly, G. C. Scott, and A. Macovski. "Homogeneous magnet design using linear programming." IEEE Transactions on Magnetics 36, no. 2 (March 2000): 476–83. http://dx.doi.org/10.1109/20.825817.

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13

Lakhtakia, Akhlesh, and Werner S. Weiglhofer. "Constraint on linear, homogeneous, constitutive relations." Physical Review E 50, no. 6 (December 1, 1994): 5017–19. http://dx.doi.org/10.1103/physreve.50.5017.

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14

Loboda, Alexandr Vasilievich, and Valeriya Konstantinovna Kaverina. "About linear homogeneous hypersurfaces in R4." Izvestiya Vysshikh Uchebnykh Zavedenii. Matematika, no. 1 (2023): 51–74. http://dx.doi.org/10.26907/0021-3446-2023-1-51-74.

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15

Hasil, Petr, and Michal Veselý. "Limit periodic homogeneous linear difference systems." Applied Mathematics and Computation 265 (August 2015): 958–72. http://dx.doi.org/10.1016/j.amc.2015.06.008.

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16

Vasconcellos, Klaus L. P., and L. M. Zea Fernandez. "Influence analysis with homogeneous linear restrictions." Computational Statistics & Data Analysis 53, no. 11 (September 2009): 3787–94. http://dx.doi.org/10.1016/j.csda.2009.03.025.

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17

Smith, Jonathan D. H. "Quasigroup Homogeneous Spaces and Linear Representations." Journal of Algebra 241, no. 1 (July 2001): 193–203. http://dx.doi.org/10.1006/jabr.2000.8733.

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18

Polyakov, Andrey. "On homogeneous controllability functions." V. N. Karazin Kharkiv National University. Ser. Mathematics, Applied Mathematics and Mechanics, no. 94 (November 29, 2021): 24–39. http://dx.doi.org/10.26565/2221-5646-2021-94-02.

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The controllability function method, introduced by V. I. Korobov in late 1970s, is known to be an efficient tool for control systems design. It is developed for both linear/nonlinear and finite/infinite dimensional systems. This paper bridges the method with the homogeneity theory popular today. The standard homogeneity known since 18th century is a symmetry of function with respect to uniform scaling of its argument. Some generalizations of the standard homogeneity were introduced in 20th century. This paper shows that the so-called homogeneous norm is a controllability function of the linear autonomous control system and the corresponding closed-loop system is homogeneous in the generalized sense. This immediately yields many useful properties known for homogeneous systems such as robustness (Input-to-State Stability) with respect to a rather large class of perturbations, in particular, with respect to bounded additive measurement noises and bounded additive exogenous disturbances. The main theorem presented in this paper slightly refines the design of the controllability function for a multiply-input linear autonomous control systems. The design procedure consists in solving subsequently a linear algebraic equation and a system of linear matrix inequalities. The homogeneity itself and the use of the canonical homogeneous norm essentially simplify the design of a controllability function and the analysis of the closed-loop system. Theoretical results are supported with examples. The further study of homogeneity-based design of controllability functions seems to be a promising direction for future research.

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19

Zimenko, Konstantin, Andrey Polyakov, Denis Efimov, and Artem Kremlev. "Homogeneous Observer Design for Linear MIMO Systems." IFAC-PapersOnLine 53, no. 2 (2020): 4576–81. http://dx.doi.org/10.1016/j.ifacol.2020.12.482.

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20

AZIZPOUR, ESMAEIL, SEDDIGHE DARSARAEI, and SEYED SAJJAD POURMORTAZAVI. "On the 1-homogeneous non-linear connections." Creative Mathematics and Informatics 23, no. 1 (2014): 1–5. http://dx.doi.org/10.37193/cmi.2014.01.11.

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In this paper, we show that for every semispray S on a vector bundle (R × TM, π, R × M), there are several sequences of semisprays and correspondingly several nonlinear connections associated to it. It is important to derive conditions on S, which guarantee that a sequence of nonlinear connections associated to S is constant. We show that the homogeneity condition for S yields the result.

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21

Hubálovská, Marie, Štěpán Hubálovský, and Eva Trojovská. "On Homogeneous Combinations of Linear Recurrence Sequences." Mathematics 8, no. 12 (December 3, 2020): 2152. http://dx.doi.org/10.3390/math8122152.

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Let (Fn)n≥0 be the Fibonacci sequence given by Fn+2=Fn+1+Fn, for n≥0, where F0=0 and F1=1. There are several interesting identities involving this sequence such as Fn2+Fn+12=F2n+1, for all n≥0. In 2012, Chaves, Marques and Togbé proved that if (Gm)m is a linear recurrence sequence (under weak assumptions) and Gn+1s+⋯+Gn+ℓs∈(Gm)m, for infinitely many positive integers n, then s is bounded by an effectively computable constant depending only on ł and the parameters of (Gm)m. In this paper, we shall prove that if P(x1,…,xℓ) is an integer homogeneous s-degree polynomial (under weak hypotheses) and if P(Gn+1,…,Gn+ℓ)∈(Gm)m for infinitely many positive integers n, then s is bounded by an effectively computable constant depending only on ℓ, the parameters of (Gm)m and the coefficients of P.

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22

Lang, Joseph B. "Homogeneous Linear Predictor Models for Contingency Tables." Journal of the American Statistical Association 100, no. 469 (March 2005): 121–34. http://dx.doi.org/10.1198/016214504000001042.

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23

Wang, Yong, Jin-Chao Cui, Ju Chen, and Yong-Xin Guo. "Quasi-canonicalization for linear homogeneous nonholonomic systems." Chinese Physics B 29, no. 6 (June 2020): 064501. http://dx.doi.org/10.1088/1674-1056/ab8627.

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24

Nölle, Christoph. "Homogeneous heterotic supergravity solutions with linear dilaton." Journal of Physics A: Mathematical and Theoretical 45, no. 4 (January 11, 2012): 045402. http://dx.doi.org/10.1088/1751-8113/45/4/045402.

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25

Mathur, S. D. "Onset of linear instability in homogeneous plasmas." Journal of Physics A: Mathematical and General 25, no. 15 (August 7, 1992): 4083–93. http://dx.doi.org/10.1088/0305-4470/25/15/016.

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26

Langley, J. K. "Pairs of non-homogeneous linear differential polynomials." Proceedings of the Royal Society of Edinburgh: Section A Mathematics 136, no. 4 (August 2006): 785–94. http://dx.doi.org/10.1017/s0308210500004728.

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Let f be transcendental and meromorphic in the plane and let the non-homogeneous linear differential polynomials F and G be defined by where k,n ∈ N and a, b and the aj, bj are rational functions. Under the assumption that F and G have few zeros, it is shown that either F and G reduce to homogeneous linear differential polynomials in f + c, where c is a rational function that may be computed explicitly, or f has a representation as a rational function in solutions of certain associated linear differential equations, which again may be determined explicitly from the aj, bj and a and b.

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27

Buck, Matthew. "Pairs of Non-Homogeneous Linear Differential Polynomials." Computational Methods and Function Theory 11, no. 1 (February 12, 2011): 283–300. http://dx.doi.org/10.1007/bf03321803.

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28

von Rosen, Dietrich. "Homogeneous matrix equations and multivariate linear models." Linear Algebra and its Applications 193 (November 1993): 19–33. http://dx.doi.org/10.1016/0024-3795(93)90269-t.

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29

Blasi, A., and R. Collina. "Stability of non-linear homogeneous σ models." Physics Letters B 200, no. 1-2 (January 1988): 98–102. http://dx.doi.org/10.1016/0370-2693(88)91117-3.

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30

Dumnicki, Marcin. "Special homogeneous linear systems on Hirzebruch surfaces." Geometriae Dedicata 147, no. 1 (January 19, 2010): 283–311. http://dx.doi.org/10.1007/s10711-009-9455-1.

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31

Chalkley, Roger. "Relative invariants for homogeneous linear differential equations." Journal of Differential Equations 80, no. 1 (July 1989): 107–53. http://dx.doi.org/10.1016/0022-0396(89)90098-3.

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32

Simon, Gabi Ben, and Dietmar A. Salamon. "Homogeneous quasimorphisms on the symplectic linear group." Israel Journal of Mathematics 175, no. 1 (January 2010): 221–24. http://dx.doi.org/10.1007/s11856-010-0010-4.

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33

Batat, Wafaa, Pedro M. Gadea, and José A. Oubiña. "Homogeneous pseudo-Riemannian structures of linear type." Journal of Geometry and Physics 61, no. 3 (March 2011): 745–64. http://dx.doi.org/10.1016/j.geomphys.2010.12.006.

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34

Althaler, J., and A. Dür. "Finite linear recurring sequences and homogeneous ideals." Applicable Algebra in Engineering, Communication and Computing 7, no. 5 (September 1996): 377–90. http://dx.doi.org/10.1007/bf01293596.

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35

Castrillón López, Marco, Pedro M. Gadea, and Andrew Swann. "Homogeneous quaternionic Kähler structures of linear type." Comptes Rendus Mathematique 338, no. 1 (January 2004): 65–70. http://dx.doi.org/10.1016/j.crma.2003.10.035.

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36

van der Merwe, A. B. "Modules for which Homogeneous Maps are Linear." Rocky Mountain Journal of Mathematics 29, no. 4 (December 1999): 1521–30. http://dx.doi.org/10.1216/rmjm/1181070420.

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37

Braunstein, Samuel L. "Generalized phase-integrals for linear homogeneous ODEs." Journal of Physics A: Mathematical and General 31, no. 27 (July 10, 1998): 5767–73. http://dx.doi.org/10.1088/0305-4470/31/27/007.

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38

Pikulin, S. V., and E. A. Tevelev. "Invariant linear connections on homogeneous symplectic varieties." Transformation Groups 6, no. 2 (June 2001): 193–98. http://dx.doi.org/10.1007/bf01597137.

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39

Althaler, J., and A. D�r. "Finite Linear Recurring Sequences and Homogeneous Ideals." Applicable Algebra in Engineering, Communication and Computing 7, no. 5 (August 1, 1996): 377–90. http://dx.doi.org/10.1007/s002000050040.

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40

Devillers, Alice. "d-homogeneous and d-ultrahomogeneous linear spaces." Journal of Combinatorial Designs 8, no. 5 (2000): 321–29. http://dx.doi.org/10.1002/1520-6610(2000)8:5<321::aid-jcd2>3.0.co;2-y.

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41

García-Saldaña, Johanna D., Jaume Llibre, and Claudia Valls. "Linear type global centers of linear systems with cubic homogeneous nonlinearities." Rendiconti del Circolo Matematico di Palermo Series 2 69, no. 3 (July 27, 2019): 771–85. http://dx.doi.org/10.1007/s12215-019-00433-0.

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42

Rajović, Miloje, Rade Stojiljković, and Dragan Dimitrovski. "Transformation of linear non-homogeneous differential equations of the second order to homogeneous." Computers & Mathematics with Applications 57, no. 4 (February 2009): 604–11. http://dx.doi.org/10.1016/j.camwa.2008.10.094.

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43

Lusis, Vitalijs, and Andrejs Krasnikovs. "Fiberconcrete with Non-Homogeneous Fibers Distribution." Environment. Technology. Resources. Proceedings of the International Scientific and Practical Conference 2 (August 8, 2015): 67. http://dx.doi.org/10.17770/etr2013vol2.856.

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In this research fiber reinforced concrete prisms with layers of non-homogeneous distribution of fibers inside them were elaborated. Fiber reinforced concrete is important material for load bearing structural elements. Traditionally fibers are homogeneously dispersed in a concrete. At the same time in many situations fiber reinforced concrete with homogeneously dispersed fibers is not optimal (majority of added fibers are not participating in load bearing process). It is possible to create constructions with non-homogeneous distribution of fibers in them in different ways. Present research is devoted to one of them. In the present research three different types of layered prisms with the same amount of fibers in them were experimentally produced (of this research prisms of non-homogeneous fiber reinforced concrete with dimensions 100×100×400 mm were designed. and prisms with homogeneously dispersed fibers were produced for reference as well). Prisms were tested under four point bending conditions till crack opening in each prism reached 6 mm. During the testing vertical deflection at the center of a prism and crack opening were fixed by the linear displacements transducers in real time.

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44

Moreno-Ley, BL, J. Lopez-Bonilla, and B. Man Tuladhar. "On the 3rd order linear differential equation." Kathmandu University Journal of Science, Engineering and Technology 8, no. 2 (January 3, 2013): 7–10. http://dx.doi.org/10.3126/kuset.v8i2.7319.

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If for an arbitrary 3th order linear differential equation, non-homogeneous, we know two solutions of its associated homogeneous equation (HE), then we show how to determine the third solution of HE and the particular solution of the original equation. Kathmandu University Journal of Science, Engineering and Technology Vol. 8, No. II, December, 2012, 7-10DOI: http://dx.doi.org/10.3126/kuset.v8i2.7319

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45

HERRERA, F., J. L. VERDEGAY, and M. KOVÁCS. "HOMOGENEOUS LINEAR FUZZY FUNCTIONS AND RANKING METHODS IN FUZZY LINEAR PROGRAMMING PROBLEMS." International Journal of Uncertainty, Fuzziness and Knowledge-Based Systems 02, no. 01 (March 1994): 25–35. http://dx.doi.org/10.1142/s0218488594000043.

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A general model for Fuzzy Linear Programming problem is studied. Fuzzy numbers generated by an homogeneous linear fuzzy function have been used for representing the imprecision of the parameters. A solution method is proposed using fuzzy numbers ranking procedures.

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46

Colak, Ilker E., Jaume Llibre, and Claudia Valls. "Hamiltonian linear type centers of linear plus cubic homogeneous polynomial vector fields." Journal of Differential Equations 257, no. 5 (September 2014): 1623–61. http://dx.doi.org/10.1016/j.jde.2014.05.024.

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47

Kong, Qingkai, and Thomas E. St. George. "Linear Sturm-Liouville problems with general homogeneous linear multi-point boundary conditions." Mathematische Nachrichten 289, no. 17-18 (March 21, 2016): 2223–34. http://dx.doi.org/10.1002/mana.201500080.

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48

Pshenichnov, S. G. "Dynamic linear viscoelasticity problems for piecewise homogeneous bodies." Mechanics of Solids 51, no. 1 (May 12, 2016): 65–74. http://dx.doi.org/10.3103/s0025654416010076.

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49

Swain, Janaki Ballav, Mrunmayee Manjari Sahoo, and Kanhu Charan Patra. "Homogeneous region determination using linear and nonlinear techniques." Physical Geography 37, no. 5 (July 21, 2016): 361–84. http://dx.doi.org/10.1080/02723646.2016.1211460.

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50

Fuchs, P., C. J. Maxson, and G. Pilz. "On rings for which homogeneous maps are linear." Proceedings of the American Mathematical Society 112, no. 1 (January 1, 1991): 1. http://dx.doi.org/10.1090/s0002-9939-1991-1042265-6.

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