Academic literature on the topic 'Matrix Analysis and Positivity'

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Journal articles on the topic "Matrix Analysis and Positivity"

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Bhatia, Rajendra, and Ludwig Elsner. "Positivity Preserving Hadamard Matrix Functions." Positivity 11, no. 4 (2007): 583–88. http://dx.doi.org/10.1007/s11117-007-2104-8.

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Bernik, Janez, Mitja Mastnak, and Heydar Radjavi. "Positivity and matrix semigroups." Linear Algebra and its Applications 434, no. 3 (2011): 801–12. http://dx.doi.org/10.1016/j.laa.2010.09.045.

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ter Horst, S., and A. van der Merwe. "Linear matrix maps for which positivity and complete positivity coincide." Linear Algebra and its Applications 628 (November 2021): 140–81. http://dx.doi.org/10.1016/j.laa.2021.07.007.

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Mørken, Knut M. "On Total Positivity of the Discrete Spline Collocation Matrix." Journal of Approximation Theory 84, no. 3 (1996): 247–64. http://dx.doi.org/10.1006/jath.1996.0018.

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Gross, Kenneth I., and Donald St P. Richards. "Total positivity, spherical series, and hypergeometric functions of matrix argument." Journal of Approximation Theory 59, no. 2 (1989): 224–46. http://dx.doi.org/10.1016/0021-9045(89)90153-6.

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Horváth, Zoltán. "On the positivity of matrix-vector products." Linear Algebra and its Applications 393 (December 2004): 253–58. http://dx.doi.org/10.1016/j.laa.2004.03.012.

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Melkman, Avraham A. "Another Proof of the Total Positivity of the Discrete Spline Collocation Matrix." Journal of Approximation Theory 84, no. 3 (1996): 265–73. http://dx.doi.org/10.1006/jath.1996.0019.

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Johnson, Charles R., and Sivaram K. Narayan. "When the positivity of the leading principal minors implies the positivity of all principal minors of a matrix." Linear Algebra and its Applications 439, no. 10 (2013): 2934–47. http://dx.doi.org/10.1016/j.laa.2013.08.017.

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Habel, Azza F., Rabeb M. Ghali, Hanen Bouaziz, et al. "Common matrix metalloproteinase-2 gene variants and altered susceptibility to breast cancer and associated features in Tunisian women." Tumor Biology 41, no. 4 (2019): 101042831984574. http://dx.doi.org/10.1177/1010428319845749.

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A role for matrix metalloproteinase polymorphisms in breast cancer development and progression was proposed, but with inconclusive results. We assessed the relation of matrix metalloproteinase-2 variants with breast cancer and related phenotypes in Tunisians. This case-control retrospective study involved 430 women with breast cancer and 498 healthy controls. Genotyping of matrix metalloproteinase-2 rs243866, rs243865, rs243864, and rs2285053 was analyzed by allelic exclusion. The minor allele frequency of rs2285053 was significantly lower in women with breast cancer cases as compared to contr
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Osada, Hirofumi. "Positivity of the self-diffusion matrix of interacting Brownian particles with hard core." Probability Theory and Related Fields 112, no. 1 (1998): 53–90. http://dx.doi.org/10.1007/s004400050183.

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Dissertations / Theses on the topic "Matrix Analysis and Positivity"

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Lecharlier, Loïc. "Blind inverse imaging with positivity constraints." Doctoral thesis, Universite Libre de Bruxelles, 2014. http://hdl.handle.net/2013/ULB-DIPOT:oai:dipot.ulb.ac.be:2013/209240.

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Dans les problèmes inverses en imagerie, on suppose généralement connu l’opérateur ou matrice décrivant le système de formation de l’image. De façon équivalente pour un système linéaire, on suppose connue sa réponse impulsionnelle. Toutefois, ceci n’est pas une hypothèse réaliste pour de nombreuses applications pratiques pour lesquelles cet opérateur n’est en fait pas connu (ou n’est connu qu’approximativement). On a alors affaire à un problème d’inversion dite “aveugle”. Dans le cas de systèmes invariants par translation, on parle de “déconvolution aveugle” car à la fois l’image ou objet de d
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Fortmann, Joshua. "Domestic Violence as a Risk Factor in HIV Positivity: An Analysis of Mozambican Women." Digital Commons @ East Tennessee State University, 2021. https://dc.etsu.edu/asrf/2021/presentations/11.

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Domestic violence has long been studied as a factor in health issues, specifically chronic illness and mental health issues. However, less research has been conducted concerning domestic violence as a risk factor for certain infectious diseases. Mozambique has alarmingly high rates of both domestic violence and human immunodeficiency virus (HIV) infections. The object of this research is to ascertain if there is link between women who suffer from domestic violence and risk of being HIV positive. The data used for this analysis was obtained from a 2018 survey conducted in Mozambique by the Depa
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Chang, Xiao-Wen. "Perturbation analysis of some matrix factorizations." Thesis, National Library of Canada = Bibliothèque nationale du Canada, 1997. http://www.collectionscanada.ca/obj/s4/f2/dsk2/tape16/PQDD_0023/NQ29906.pdf.

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Chang, Xiao-Wen 1963. "Pertubation analysis of some matrix factorizations." Thesis, McGill University, 1997. http://digitool.Library.McGill.CA:80/R/?func=dbin-jump-full&object_id=41999.

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Matrix factorizations are among the most important and basic tools in numerical linear algebra. Perturbation analyses of matrix factorizations are not only important in their own right, but also useful in many applications, e.g. in estimation, control and statistics. The aim of such analyses is to show what effects changes in the data will have on the factors. This thesis is concerned with developing new general purpose perturbation analyses, and applying them to the Cholesky, QR and LU factorizations, and the Cholesky downdating problem.<br>We develop a new approach, the so called 'matrix-vec
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El, Zant Samer. "Google matrix analysis of Wikipedia networks." Thesis, Toulouse, INPT, 2018. http://www.theses.fr/2018INPT0046/document.

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Cette thèse s’intéresse à l’analyse du réseau dirigé extrait de la structure des hyperliens de Wikipédia. Notre objectif est de mesurer les interactions liant un sous-ensemble de pages du réseau Wikipédia. Par conséquent, nous proposons de tirer parti d’une nouvelle représentation matricielle appelée matrice réduite de Google ou "reduced Google Matrix". Cette matrice réduite de Google (GR) est définie pour un sous-ensemble de pages donné (c-à-d un réseau réduit).Comme pour la matrice de Google standard, un composant de GR capture la probabilité que deux noeuds du réseau réduit soient directeme
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Diar, Fares Sonja. "All is well : An analysis of positivity through adjectives in two contemporary New Age self-help books." Thesis, Mälardalens högskola, Akademin för utbildning, kultur och kommunikation, 2018. http://urn.kb.se/resolve?urn=urn:nbn:se:mdh:diva-40144.

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Self-help counselling is an important industry that not only influences its immediate users’ behavior but also society and social behaviors more generally. Since New Ageis a main branch of self-help, and since positivity is a dominant concept in (New Age) self-help discourse, it is worth analyzing how positivity might be achieved in terms of language use. The present study investigates whether the adjectives in a couple of New Age publications contribute to communicating positivity and, if yes, how. What adjectives are used and how can they be categorized in terms of positive, negative, neutra
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Barnett, John D. (John Derek) 1970. "Convex matrix factorization for gene expression analysis." Thesis, Massachusetts Institute of Technology, 2004. http://hdl.handle.net/1721.1/30098.

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Thesis (S.M.)--Massachusetts Institute of Technology, Dept. of Electrical Engineering and Computer Science, 2004.<br>Includes bibliographical references (p. 68-71).<br>A method is proposed for gene expression analysis relying upon convex matrix factorization (CMF). In CMF, one of the matrix factors has a convexity constraint, that is, each row is nonnegative and sums to one, and hence can be interpreted as a probability distribution. This is motivated biologically by expression data resulting from a mixture of different cell types. This thesis investigates implementing CMF with various constra
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Lee, Shi-Wei. "Analysis of Composite Laminates with Matrix Cracks." Thesis, Virginia Tech, 1987. http://hdl.handle.net/10919/45539.

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Analysis of the effects of matrix cracking on composite laminates is a well-known problem which has attracted considerable attention for the past decade. An approximate analytical solution is introduced in this thesis to study this type of problem. The subjects of primary concern are the degradation of effective laminate properties, such as axial stiffness, Poisson's ratio, shear modulus, and coefficient of thermal expansion, as a function of crack density and the axial stress redistribution due to the existence of matrix cracks. Both transverse cracks (2-D problem) and cross (transverse and
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Vaandrager, Paul. "Jost-matrix analysis of nuclear scattering data." Thesis, University of Pretoria, 2020. http://hdl.handle.net/2263/75605.

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The analysis of scattering data is usually done by fitting the S-matrix at real experimental energies. An analytic continuation to complex and negative energies must then be performed to locate possible resonances and bound states, which correspond to poles of the S-matrix. Difficulties in the analytic continuation arise since the S-matrix is energy dependent via the momentum, k and the Sommerfeld parameter, η, which makes it multi-valued. In order to circumvent these difficulties, in this work, the S-matrix is written in a semi-analytic form in terms of the Jost matrices, which can be given a
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Knox, Andrew Ramsay. "Design and analysis of the magnetic matrix display." Connect to electronic version, 2000. http://hdl.handle.net/1905/187.

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Books on the topic "Matrix Analysis and Positivity"

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R, Johnson Charles, ed. Matrix analysis. Cambridge University Press, 1985.

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Bhatia, Rajendra. Matrix Analysis. Springer New York, 1997. http://dx.doi.org/10.1007/978-1-4612-0653-8.

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Horn, Roger A. Matrix analysis. Cambridge University Press, 1990.

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Horn, Roger A. Matrix analysis. 2nd ed. Cambridge University Press, 2012.

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Bhatia, Rajendra. Matrix analysis. Springer, 1997.

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H, Gallagher Richard, and Ziemian Ronald D, eds. Matrix structural analysis. 2nd ed. John Wiley, 2000.

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Matrix structural analysis. PWS-Kent Pub. Co., 1989.

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Varga, Richard S. Matrix Iterative Analysis. Springer Berlin Heidelberg, 2000. http://dx.doi.org/10.1007/978-3-642-05156-2.

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Varga, Richard S. Matrix iterative analysis. 2nd ed. Springer Verlag, 2000.

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B, Nelson Richard, ed. Matrix structural analysis. J. Wiley, 1997.

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Book chapters on the topic "Matrix Analysis and Positivity"

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Lefaucheux, Engel, Joël Ouaknine, David Purser, and Mohammadamin Sharifi. "Model Checking Linear Dynamical Systems under Floating-point Rounding." In Tools and Algorithms for the Construction and Analysis of Systems. Springer Nature Switzerland, 2023. http://dx.doi.org/10.1007/978-3-031-30823-9_3.

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AbstractWe consider linear dynamical systems under floating-point rounding. In these systems, a matrix is repeatedly applied to a vector, but the numbers are rounded into floating-point representation after each step (i.e., stored as a fixed-precision mantissa and an exponent). The approach more faithfully models realistic implementations of linear loops, compared to the exact arbitrary-precision setting often employed in the study of linear dynamical systems.Our results are twofold: We show that for non-negative matrices there is a special structure to the sequence of vectors generated by the system: the mantissas are periodic and the exponents grow linearly. We leverage this to show decidability of $$\omega $$ ω -regular temporal model checking against semialgebraic predicates. This contrasts with the unrounded setting, where even the non-negative case encompasses the long-standing open Skolem and Positivity problems.On the other hand, when negative numbers are allowed in the matrix, we show that the reachability problem is undecidable by encoding a two-counter machine. Again, this is in contrast with the unrounded setting where point-to-point reachability is known to be decidable in polynomial time.
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Gesztesy, Fritz, and Michael M. H. Pang. "On Positivity Preserving, Translation Invariant Operators in $$ \mathit L^p (\mathbb R^n)^m $$." In Analysis as a Tool in Mathematical Physics. Springer International Publishing, 2020. http://dx.doi.org/10.1007/978-3-030-31531-3_19.

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Borawski, Kamil. "Analysis of the Positivity of Descriptor Continuous-Time Linear Systems by the Use of Drazin Inverse Matrix Method." In Advances in Intelligent Systems and Computing. Springer International Publishing, 2018. http://dx.doi.org/10.1007/978-3-319-77179-3_16.

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Chesi, Graziano, Andrea Garulli, Alberto Tesi, and Antonio Vicino. "Positivity Gap." In Homogeneous Polynomial Forms for Robustness Analysis of Uncertain Systems. Springer London, 2009. http://dx.doi.org/10.1007/978-1-84882-781-3_2.

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Dancer, E. N. "Positivity of Maps and Applications." In Topological Nonlinear Analysis. Birkhäuser Boston, 1995. http://dx.doi.org/10.1007/978-1-4612-2570-6_4.

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Fu, Siqi. "Positivity in the ∂¯-Neumann Problem." In Handbook of Complex Analysis. Chapman and Hall/CRC, 2022. http://dx.doi.org/10.1201/9781315160658-5.

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Jia, Rong-Qing. "Total Positivity and Nonlinear Analysis." In Total Positivity and Its Applications. Springer Netherlands, 1996. http://dx.doi.org/10.1007/978-94-015-8674-0_19.

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Fu, Siqi. "Positivity of the $$ \bar \partial $$ -Neumann Laplacian." In Complex Analysis. Birkhäuser Basel, 2010. http://dx.doi.org/10.1007/978-3-0346-0009-5_8.

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Gladwell, G. M. L. "Matrix Analysis." In Inverse problems in vibration. Springer Netherlands, 1986. http://dx.doi.org/10.1007/978-94-015-1178-0_1.

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Esfandiari, Ramin S., and Bei Lu. "Matrix Analysis." In Modeling and Analysis of Dynamic Systems. CRC Press, 2018. http://dx.doi.org/10.1201/b22138-3.

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Conference papers on the topic "Matrix Analysis and Positivity"

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de Oliveira, Mauricio C., Ricardo C. L. F. Oliveira, and Pedro L. D. Peres. "Schur stability of polytopic systems through positivity analysis of matrix-valued polynomials." In 2007 46th IEEE Conference on Decision and Control. IEEE, 2007. http://dx.doi.org/10.1109/cdc.2007.4434750.

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Yedavalli, Rama K., and Nagini Devarakonda. "Determination of Most Desirable Nominal Closed Loop State Space System via Qualitative Ecological Principles." In ASME 2014 Dynamic Systems and Control Conference. American Society of Mechanical Engineers, 2014. http://dx.doi.org/10.1115/dscc2014-6181.

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This paper addresses the issue of determining the most desirable ‘Nominal Closed Loop Matrix’ structure in linear state space systems, by combining the concepts of ‘Quantitative Robustness’ and ‘Qualitative Robustness’. The qualitative robustness measure is based on the nature of interactions and interconnections of the system. The quantitative robustness is based on the nature of eigenvalue/eigenvector structure of the system. This type of analysis from both viewpoints sheds considerable insight on the desirable nominal system in engineering applications. Using these concepts it is shown that
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Artru, X. "Classical positivity, quantum positivity and entanglement of a multi-partite density matrix, with the example of polarized reactions." In THE 8TH INTERNATIONAL CONFERENCE ON PROGRESS IN THEORETICAL PHYSICS (ICPTP 2011). AIP, 2012. http://dx.doi.org/10.1063/1.4715425.

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Iwasaki, Masashi, and Yoshimasa Nakamura. "Positivity and Stability of the dLV Algorithm for Computing Matrix Singular Values." In Second International Conference on Informatics Research for Development of Knowledge Society Infrastructure (ICKS'07). IEEE, 2007. http://dx.doi.org/10.1109/icks.2007.22.

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Renganarayana, Lakshminarayanan, and Sanjay Rajopadhye. "Positivity, posynomials and tile size selection." In 2008 SC - International Conference for High Performance Computing, Networking, Storage and Analysis. IEEE, 2008. http://dx.doi.org/10.1109/sc.2008.5213293.

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Nalbant, Nese, and Yasar Sozen. "The positivity of differential operator with nonlocal boundary conditions." In NUMERICAL ANALYSIS AND APPLIED MATHEMATICS ICNAAM 2012: International Conference of Numerical Analysis and Applied Mathematics. AIP, 2012. http://dx.doi.org/10.1063/1.4756198.

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Ashyralyev, Allaberen, and Fatih Sabahattin Tetikoğlu. "The positivity of the differential operator with periodic conditions." In NUMERICAL ANALYSIS AND APPLIED MATHEMATICS ICNAAM 2012: International Conference of Numerical Analysis and Applied Mathematics. AIP, 2012. http://dx.doi.org/10.1063/1.4756200.

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Semenova, Galina E. "Positivity of elliptic difference operators and its applications." In FIRST INTERNATIONAL CONFERENCE ON ANALYSIS AND APPLIED MATHEMATICS: ICAAM 2012. AIP, 2012. http://dx.doi.org/10.1063/1.4747683.

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Ashyralyev, Allaberen, Sema Kaplan, Yasar Sozen, et al. "Positivity of Two-Dimensional Elliptic Differential Operators with Nonlocal Conditions." In NUMERICAL ANALYSIS AND APPLIED MATHEMATICS ICNAAM 2011: International Conference on Numerical Analysis and Applied Mathematics. AIP, 2011. http://dx.doi.org/10.1063/1.3636803.

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Gao, Haichao, Wei Dong, and Linli Ma. "Positivity and stability analysis of positive discrete-time descriptor systems." In 2016 Chinese Control and Decision Conference (CCDC). IEEE, 2016. http://dx.doi.org/10.1109/ccdc.2016.7531126.

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Reports on the topic "Matrix Analysis and Positivity"

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Hurtubise, R. J. Solid-matrix luminescence analysis. Office of Scientific and Technical Information (OSTI), 1993. http://dx.doi.org/10.2172/6568645.

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Caswell, Hal. Matrix Methods for Population Analysis. Defense Technical Information Center, 1997. http://dx.doi.org/10.21236/ada330118.

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Kailath, Thomas. Recursive Analysis of Matrix Scattering Functions. Defense Technical Information Center, 1993. http://dx.doi.org/10.21236/ada277264.

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Robert J. Hurtubise. Solid-Matrix Luminescence Analysis and Coupling Solid-Matrix Luminescence with Separation Methodology. Office of Scientific and Technical Information (OSTI), 2007. http://dx.doi.org/10.2172/1009088.

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Hurtubise, Robert J. Solid-Matrix Luminescence Analysis and Coupling Solid-Matrix Luminescence with Separation Methodology. Office of Scientific and Technical Information (OSTI), 2004. http://dx.doi.org/10.2172/838042.

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Bane, Karl LF. SCATTERING MATRIX ANALYSIS OF THE NLC ACCELERATING STRUCTURE. Office of Scientific and Technical Information (OSTI), 1999. http://dx.doi.org/10.2172/10045.

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Yu, Li Hua. Analysis of Nonlinear Dynamics by Square Matrix Method. Office of Scientific and Technical Information (OSTI), 2016. http://dx.doi.org/10.2172/1340371.

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Wang, A. S. Fracture Analysis of Matrix Cracking in Laminated Composites. Defense Technical Information Center, 1985. http://dx.doi.org/10.21236/ada170486.

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Wolski, A., J. Nelson, M. Ross, M. Woodley, and S. Mishra. Analysis of KEK-ATF Optics And Coupling Using Orbit Response Matrix Analysis. Office of Scientific and Technical Information (OSTI), 2006. http://dx.doi.org/10.2172/893293.

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Wolski, A., J. Nelson, M. Ross, M. Woodley, and S. Mishra. Analysis of KEK-ATF optics and coupling using orbit response matrix analysis. Office of Scientific and Technical Information (OSTI), 2004. http://dx.doi.org/10.2172/898407.

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