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Journal articles on the topic 'Matric inequalities'

Author: Grafiati

Published: 4 June 2021

Last updated: 28 July 2025

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1

Helton, J. W., S. McCullough, M. Putinar, and V. Vinnikov. "Convex Matrix Inequalities Versus Linear Matrix Inequalities." IEEE Transactions on Automatic Control 54, no. 5 (2009): 952–64. http://dx.doi.org/10.1109/tac.2009.2017087.

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2

Bebiano, Natalia, and Joao da Providencia. "Determinantal inequalities for J-accretive dissipative matrices." Studia Universitatis Babes-Bolyai Matematica 62, no. 1 (2017): 119–25. http://dx.doi.org/10.24193/subbmath.2017.0009.

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3

Wang, Yi Zhong. "Hybrid Control for Markovian Neutral Systems with Distributed Delays." Applied Mechanics and Materials 724 (January 2015): 323–26. http://dx.doi.org/10.4028/www.scientific.net/amm.724.323.

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This paper is concerned with the problem of hybrid control for a class of Markovian neutral systems with distributed delays. By using Lyapunov stability and free-weighting matrix methods, a novel delay-dependent stabilization condition for the Markovian neutral systems with distributed delays is constructed in terms of linear matrix inequalities (LMIs). When these linear matrix inequalitise are feasible, combining state feedback control with integral control, an explicit expression of the desired hybrid controller is designed. The given hybrid controller, based on the obtained criterion, guara

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4

Zhang, Feng, and Chunwen Zhang. "Matrix Mixed Inequalities." European Journal of Pure and Applied Mathematics 17, no. 1 (2024): 243–47. http://dx.doi.org/10.29020/nybg.ejpam.v17i1.5009.

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5

Matharu, Jagjit Singh, Chitra Malhotra, and Mohammad Sal Moslehian. "Indefinite matrix inequalities via matrix means." Bulletin des Sciences Mathématiques 171 (October 2021): 103036. http://dx.doi.org/10.1016/j.bulsci.2021.103036.

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6

Lobok, Oleksij, Boris Goncharenko, Larisa Vihrova, and Marina Sych. "Synthesis of Modal Control of Multidimensional Linear Systems Using Linear Matrix Inequalities." Collected Works of Kirovohrad National Technical University. Machinery in Agricultural Production, Industry Machine Building, Automation, no. 31 (2018): 141–50. http://dx.doi.org/10.32515/2409-9392.2018.31.141-150.

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7

Chayes, Victoria M. "Matrix rearrangement inequalities revisited." Mathematical Inequalities & Applications, no. 2 (2021): 431–44. http://dx.doi.org/10.7153/mia-2021-24-30.

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8

Kummer, Mario. "Spectral linear matrix inequalities." Advances in Mathematics 384 (June 2021): 107749. http://dx.doi.org/10.1016/j.aim.2021.107749.

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9

Uchiyama, Mitsuru. "Mixed matrix (operator) inequalities." Linear Algebra and its Applications 341, no. 1-3 (2002): 249–57. http://dx.doi.org/10.1016/s0024-3795(01)00380-9.

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10

Zhan, Xingzhi. "On some matrix inequalities." Linear Algebra and its Applications 376 (January 2004): 299–303. http://dx.doi.org/10.1016/j.laa.2003.08.008.

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11

de Oliveira, Graciano. "Interlacing inequalities. matrix groups." Linear Algebra and its Applications 162-164 (February 1992): 297–307. http://dx.doi.org/10.1016/0024-3795(92)90381-j.

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12

Afendras, G., and N. Papadatos. "On matrix variance inequalities." Journal of Statistical Planning and Inference 141, no. 11 (2011): 3628–31. http://dx.doi.org/10.1016/j.jspi.2011.05.016.

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13

Gümüş, Ibrahim Halil, Hamid Reza Moradi, and Mohammad Sababheh. "Further subadditive matrix inequalities." Mathematical Inequalities & Applications, no. 3 (2020): 1127–34. http://dx.doi.org/10.7153/mia-2020-23-86.

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14

Werner, H. "Editorial: Linear matrix inequalities." IEE Proceedings - Control Theory and Applications 150, no. 5 (2003): 499–500. http://dx.doi.org/10.1049/ip-cta:20030904.

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15

Alaifari, Rima, Xiuyuan Cheng, Lillian B. Pierce, and Stefan Steinerberger. "On matrix rearrangement inequalities." Proceedings of the American Mathematical Society 148, no. 5 (2020): 1835–48. http://dx.doi.org/10.1090/proc/14831.

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16

Carlen, Eric, and Elliott H. Lieb. "Some matrix rearrangement inequalities." Annali di Matematica Pura ed Applicata 185, S5 (2005): S315—S324. http://dx.doi.org/10.1007/s10231-004-0147-z.

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17

Tollis, Theodore. "Some matrix inequalities and applications to probabilistic inequalities." Publicationes Mathematicae Debrecen 35, no. 3-4 (2022): 231–39. http://dx.doi.org/10.5486/pmd.1988.35.3-4.06.

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18

Galvin, Fred, Frank Jelen, and Eberhard Triesch. "A Matrix of Inequalities: 10599." American Mathematical Monthly 106, no. 7 (1999): 688. http://dx.doi.org/10.2307/2589510.

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19

Al-Hawari, M., and Mohammad Abd Allah Migdady. "MATRIX MONOTONE FUNCTIONS TYPE INEQUALITIES." Far East Journal of Mathematical Sciences (FJMS) 129, no. 2 (2021): 113–17. http://dx.doi.org/10.17654/ms129020113.

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20

Genin, Y., Y. Hachez, Yu Nesterov, R. Ştefan, P. Van Dooren, and S. Xu. "Positivity and Linear Matrix Inequalities." European Journal of Control 8, no. 3 (2002): 275–98. http://dx.doi.org/10.3166/ejc.8.275-298.

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21

Goncalves, Tiago R., Gabriela W. Gabriel, and Jose C. Geromel. "Differential Linear Matrix Inequalities Optimization." IEEE Control Systems Letters 3, no. 2 (2019): 380–85. http://dx.doi.org/10.1109/lcsys.2018.2884016.

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22

Loring, Terry A. "From Matrix to Operator Inequalities." Canadian Mathematical Bulletin 55, no. 2 (2012): 339–50. http://dx.doi.org/10.4153/cmb-2011-063-8.

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AbstractWe generalize Löwner's method for proving that matrix monotone functions are operator monotone. The relation x ≤ y on bounded operators is our model for a definition of C*-relations being residually finite dimensional.Our main result is a meta-theorem about theorems involving relations on bounded operators. If we can show there are residually finite dimensional relations involved and verify a technical condition, then such a theorem will follow from its restriction to matrices.Applications are shown regarding norms of exponentials, the norms of commutators, and “positive” noncommutativ

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23

Zhang, F., and Q. Zhang. "Eigenvalue Inequalities for Matrix Product." IEEE Transactions on Automatic Control 51, no. 9 (2006): 1506–9. http://dx.doi.org/10.1109/tac.2006.880787.

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24

Bebiano, N., J. da Providência, and R. Lemos. "Matrix inequalities in statistical mechanics." Linear Algebra and its Applications 376 (January 2004): 265–73. http://dx.doi.org/10.1016/j.laa.2003.07.004.

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25

Aoun, Richard, Marwa Banna, and Pierre Youssef. "Matrix Poincaré inequalities and concentration." Advances in Mathematics 371 (September 2020): 107251. http://dx.doi.org/10.1016/j.aim.2020.107251.

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26

Komaroff, N. "Rearrangement and matrix product inequalities." Linear Algebra and its Applications 140 (October 1990): 155–61. http://dx.doi.org/10.1016/0024-3795(90)90227-4.

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27

Thompson, R. C. "p-adic matrix valued inequalities." Linear Algebra and its Applications 71 (November 1985): 299–308. http://dx.doi.org/10.1016/0024-3795(85)90257-5.

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28

Cohen, Joel E. "Spectral inequalities for matrix exponentials." Linear Algebra and its Applications 111 (December 1988): 25–28. http://dx.doi.org/10.1016/0024-3795(88)90048-1.

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29

Huang, Shaowu, Chi-Kwong Li, Yiu-Tung Poon, and Qing-Wen Wang. "Inequalities on generalized matrix functions." Linear and Multilinear Algebra 65, no. 10 (2016): 1947–61. http://dx.doi.org/10.1080/03081087.2016.1239690.

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30

He, Gantong. "Equivalence of some matrix inequalities." Journal of Mathematical Inequalities, no. 1 (2014): 153–58. http://dx.doi.org/10.7153/jmi-08-09.

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31

Salemi, Abbas, and Alemeh Sheikhhosseini. "Matrix Young numerical radius inequalities." Mathematical Inequalities & Applications, no. 3 (2013): 783–91. http://dx.doi.org/10.7153/mia-16-59.

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32

Vershynina, Anna, Eric Carlen, and Elliott Lieb. "Matrix and Operator Trace Inequalities." Scholarpedia 8, no. 4 (2013): 30919. http://dx.doi.org/10.4249/scholarpedia.30919.

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33

Ulukök, Zübeyde, and Ramazan Türkmen. "On Some Matrix Trace Inequalities." Journal of Inequalities and Applications 2010 (2010): 1–8. http://dx.doi.org/10.1155/2010/201486.

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34

Liu, Shuangzhe, and Heinz Neudecker. "Several Matrix Kantorovich-Type Inequalities." Journal of Mathematical Analysis and Applications 197, no. 1 (1996): 23–26. http://dx.doi.org/10.1006/jmaa.1996.0003.

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35

Mond, B., and J. E. Pečarić. "Matrix Inequalities for Convex Functions." Journal of Mathematical Analysis and Applications 209, no. 1 (1997): 147–53. http://dx.doi.org/10.1006/jmaa.1997.5353.

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36

Tropp, Joel A. "Second-order matrix concentration inequalities." Applied and Computational Harmonic Analysis 44, no. 3 (2018): 700–736. http://dx.doi.org/10.1016/j.acha.2016.07.005.

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37

Zuo, Junmei, and Yonghui Ren. "Some generalized matrix means inequalities." AIMS Mathematics 10, no. 6 (2025): 13319–29. https://doi.org/10.3934/math.2025597.

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38

Ames, W. F., and C. Brezinski. "A survey of matrix theory and matrix inequalities." Mathematics and Computers in Simulation 35, no. 2 (1993): 186. http://dx.doi.org/10.1016/0378-4754(93)90016-n.

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39

Gutman, Ivan. "Spectrum and energy of the Sombor matrix." Vojnotehnicki glasnik 69, no. 3 (2021): 551–61. http://dx.doi.org/10.5937/vojtehg69-31995.

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Introduction/purpose: The Sombor matrix is a vertex-degree-based matrix associated with the Sombor index. The paper is concerned with the spectral properties of the Sombor matrix. Results: Equalities and inequalities for the eigenvalues of the Sombor matrix are obtained, from which two fundamental bounds for the Sombor energy (= energy of the Sombor matrix) are established. These bounds depend on the Sombor index and on the "forgotten" topological index. Conclusion: The results of the paper contribute to the spectral theory of the Sombor matrix, as well as to the general spectral theory of mat

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40

Zhangabergenova, N. S., and A. T. Temirhanova. "THREE-WEIGHTED INEQUALITIES FOR SOME CLASS OF MATRIX OPERATORS." Herald of the Kazakh-British Technical University 22, no. 2 (2025): 220–41. https://doi.org/10.55452/1998-6688-2025-22-2-220-241.

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The criteria for the fulfillment of continuous and discrete inequalities involving Hardy operators are one of the key problems in the theory of weighted inequalities. The study of discrete inequalities for the class of matrix operators can be considered a new direction of research. In general, since the stability criterion in the weighted Lebesgue space for a discrete operator with a matrix kernel is not defined, various conditions are imposed on the matrix, which allows for obtaining broader results compared to the case without a matrix. In this work, we consider discrete quasilinear operator

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41

Zuo, Hongliang, and Fazhen Jiang. "Unitarily invariant norm inequalities for matrix means." Journal of Analysis 29, no. 3 (2021): 905–16. http://dx.doi.org/10.1007/s41478-020-00286-2.

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AbstractThe main target of this article is to present several unitarily invariant norm inequalities which are refinements of arithmetic-geometric mean, Heinz and Cauchy-Schwartz inequalities by convexity of some special functions.

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42

Kan, Osman, and Süleyman Solak. "Norm inequalities related to matrix commutators involving matrix functions." Asian-European Journal of Mathematics 12, no. 06 (2019): 2040006. http://dx.doi.org/10.1142/s1793557120400069.

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In this paper, we construct matrix commutators involving hyperbolic functions [Formula: see text], [Formula: see text], [Formula: see text], [Formula: see text], [Formula: see text] and obtain some results related to the relation between these commutators and [Formula: see text].

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43

Albadawi, Hussien. "Matrix inequalities related to Hölder inequality." Banach Journal of Mathematical Analysis 7, no. 2 (2013): 162–71. http://dx.doi.org/10.15352/bjma/1363784229.

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44

Chan, N. N., and Man Kam Kwong. "Hermitian Matrix Inequalities and a Conjecture." American Mathematical Monthly 92, no. 8 (1985): 533. http://dx.doi.org/10.2307/2323157.

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45

Lipschutz, Seymour. "Note on Graphs and Matrix Inequalities." American Mathematical Monthly 92, no. 4 (1985): 277. http://dx.doi.org/10.2307/2323652.

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46

Tropp, Joel A. "An Introduction to Matrix Concentration Inequalities." Foundations and Trends® in Machine Learning 8, no. 1-2 (2015): 1–230. http://dx.doi.org/10.1561/2200000048.

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47

Sababheh, Mohammad, Shigeru Furuichi, Shiva Sheybani, and Hamid Reza Moradi. "Singular values inequalities for matrix means." Journal of Mathematical Inequalities, no. 1 (2022): 169–79. http://dx.doi.org/10.7153/jmi-2022-16-13.

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48

Zhao, Jianguo. "Matrix inequalities for unitarily invariant norms." ScienceAsia 44, no. 6 (2018): 437. http://dx.doi.org/10.2306/scienceasia1513-1874.2018.44.437.

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49

Zhao, Jianguo. "Matrix inequalities for unitarily invariant norms." ScienceAsia 44, no. 6 (2018): 438. http://dx.doi.org/10.2306/scienceasia1513-1874.2018.44.438.

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50

Henrion, Didier, Simone Naldi, and Mohab Safey El Din. "Exact Algorithms for Linear Matrix Inequalities." SIAM Journal on Optimization 26, no. 4 (2016): 2512–39. http://dx.doi.org/10.1137/15m1036543.

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