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1. Full Text Generalized Sarymsakov Matrices
by Xia, Weiguo and Liu, Ji and Cao, Ming and Johansson, Karl Henrik and Basar, Tamer
IEEE Transactions on Automatic Control, ISSN 0018-9286, 08/2019, Volume 64, Issue 8, pp. 3085 - 3100
Within the set of stochastic, indecomposable, aperiodic (SIA) matrices, the class of Sarymsakov matrices is the largest known subset that is closed under... 
products of stochastic matrices | Symmetric matrices | multi-agent systems | Stochastic processes | Cooperative control | doubly stochastic matrices | Sarymsakov matrices | Robot sensing systems | Linear matrix inequalities | Indexes | Standards | Convergence | ERGODICITY | MULTIAGENT SYSTEMS | COORDINATION | NETWORKS | ALGORITHMS | ENGINEERING, ELECTRICAL & ELECTRONIC | DYNAMICALLY CHANGING ENVIRONMENT | CONVERGENCE SPEED | OPTIMIZATION | CONSENSUS SEEKING | DISTRIBUTED CONSENSUS | AUTOMATION & CONTROL SYSTEMS
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2. Full Text Matrices of SL $${(4, \mathbb{R})}$$ ( 4 , R ) that are the Product of Two Skew-Symmetric Matrices
by Dong, Lei and Huang, Lei and Shao, Changpeng and Wen, Yong
Advances in Applied Clifford Algebras, ISSN 0188-7009, 3/2017, Volume 27, Issue 1, pp. 475 - 489
The Jordan forms of matrices that are the product of two skew-symmetric matrices over a field of characteristic $${\neq 2}$$ ≠ 2 have been a research topic in... 
{SL(4,\mathbb{R})}$$ S L ( 4 , R ) | Mathematical Methods in Physics | Theoretical, Mathematical and Computational Physics | Line geometry | Product of two skew-symmetric matrices | Applications of Mathematics | Physics, general | Primary 15B99 | Physics | Secondary 51J10 | Oriented projective geometry | {SL(4,\mathbb{R})}$$ S L ( 4 , R ) -Jordan form | SL(4 , R) | SL(4 , R) -Jordan form | MATHEMATICS, APPLIED | SL(4, R)-Jordan form | PHYSICS, MATHEMATICAL | SL(4, R)
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3. Full Text The matrix nearness problem for symmetric matrices associated with the matrix equation [ A T XA, B T XB] = [ C, D]
by Liao, An-ping and Lei, Yuan and Yuan, Shi-fang
Linear Algebra and Its Applications, ISSN 0024-3795, 2006, Volume 418, Issue 2, pp. 939 - 954
A direct method, based on the projection theorem in inner products spaces, the generalized singular value decomposition and the canonical correlation... 
Canonical correlation decomposition | Symmetric matrix | Generalized singular value decomposition | Least-squares solution | Optimal approximate solution | canonical correlation decomposition | symmetric matrix | MATHEMATICS, APPLIED | A1XB1=C1 | optimal approximate solution | IMPROVEMENT | generalized singular value decomposition | A2XB2=C2 | least-squares solution | SINGULAR VALUE DECOMPOSITION | PAIR | Yuan (China) | Algorithms
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4. Full Text Symmetric Pseudo-Random Matrices
by Soloveychik, Ilya and Xiang, Yu and Tarokh, Vahid
IEEE Transactions on Information Theory, ISSN 0018-9448, 04/2018, Volume 64, Issue 4, pp. 3179 - 3196
We consider the problem of generating symmetric pseudo-random sign (±1) matrices based on the similarity of their spectra to Wigner's semicircular law. Using... 
Symmetric matrices | Limiting | Wigner ensemble | Signal processing algorithms | semicircular law | Complexity theory | Pseudo-random matrices | Covariance matrices | Physics | Convergence | UNIVERSALITY | SEQUENCES | ENSEMBLES | COMPUTER SCIENCE, INFORMATION SYSTEMS | CYCLIC CODES | ARRAYS | GRAPHS | ENGINEERING, ELECTRICAL & ELECTRONIC | WIGNER RANDOM MATRICES | PERFECT MAPS | COVARIANCE MATRICES | Mathematical analysis | Matrix methods
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5. Full Text Pseudo-Wigner Matrices
by Soloveychik, Ilya and Xiang, Yu and Tarokh, Vahid
IEEE Transactions on Information Theory, ISSN 0018-9448, 04/2018, Volume 64, Issue 4, pp. 3170 - 3178
We consider the problem of generating pseudo-random matrices based on the similarity of their spectra to Wigner's semicircular law. We introduce the notion of... 
Symmetric matrices | Wigner ensemble | Signal processing algorithms | Linear codes | semicircular law | Complexity theory | Random variables | Power capacitors | Pseudo-random matrices | Convergence | EIGENVALUES | LAW | COMPUTER SCIENCE, INFORMATION SYSTEMS | CYCLIC CODES | ARRAYS | PERFECT MAPS | ENGINEERING, ELECTRICAL & ELECTRONIC | Computer simulation | Graphs | BCH codes
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6. Full Text Symmetric and Skew‐Symmetric {0,±1}‐Matrices with Large Determinants
by Greaves, Gary and Suda, Sho
Journal of Combinatorial Designs, ISSN 1063-8539, 11/2017, Volume 25, Issue 11, pp. 507 - 522
We show that the existence of {±1}‐matrices having largest possible determinant is equivalent to the existence of certain tournament matrices. In particular,... 
D‐optimal design | EW matrix | conference matrix | skew‐symmetric matrix | D-optimal design | skew-symmetric matrix | MATHEMATICS | MATRICES | Mathematics - Combinatorics
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7. Full Text Iterative algorithm for solving a class of quaternion matrix equation over the generalized (P,Q) -reflexive matrices
by Li, Ning and Wang, Qing-Wen
Abstract and Applied Analysis, ISSN 1085-3375, 2013, Volume 2013, pp. 1 - 15
The matrix equation Sigma(u)(l=1) A(i)XB(i) + Sigma(v)(s=1) (CsXDs)-D-T = F, which includes some frequently investigated matrix equations as its special cases,... 
MATHEMATICS | MATHEMATICS, APPLIED | OPTIMAL APPROXIMATION SOLUTION | SINGULAR-VALUE DECOMPOSITION | REFLEXIVE MATRICES | MINIMUM-NORM | COMMON SOLUTION | SYSTEMS | SYMMETRIC-SOLUTIONS | AXB | LEAST-SQUARES SOLUTION | BIDIAGONALIZATION | Matrices | Algorithms | Research | Mathematical research | Iterative methods (Mathematics)
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8. Numerical analysis of symmetric matrices
by Schwarz, Hans Rudolf and Rutishauser, Heinz and Stiefel, Eduard L
1973, Prentice-Hall series in automatic computation., ISBN 0136265561, xi, 276
Matrices | Numerical analysis
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9. Full Text Regularized M -Estimators of Scatter Matrix
by Ollila, Esa and Tyler, David E
IEEE Transactions on Signal Processing, ISSN 1053-587X, 11/2014, Volume 62, Issue 22, pp. 6059 - 6070
In this paper, a general class of regularized M-estimators of scatter matrix are proposed that are suitable also for low or insufficient sample support (small... 
Maximum likelihood estimation | Symmetric matrices | regularization | robustness | Covariance matrices | Equations | Geodesic convexity | complex elliptically symmetric distributions | M -estimator of scatter | Cost function | normalized matched filter | Convex functions | High definition video | M$-estimator of scatter | M-estimator of scatter | CONVEXITY | SUBSPACE DETECTORS | MULTIVARIATE LOCATION | ENGINEERING, ELECTRICAL & ELECTRONIC | CFAR DETECTION | COVARIANCE-MATRIX | MODELS | GAUSSIAN DISTRIBUTION | Signal processing | Usage | Mathematical optimization | Iterative methods (Mathematics) | Least squares | Innovations | Mathematical analysis | Radar detection | Uniqueness | Exact solutions | Transaction processing | Scatter | Estimators | Convergence
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10. Full Text Diagonally singularizable matrices
by Rohn, Jiri
Linear Algebra and Its Applications, ISSN 0024-3795, 10/2018, Volume 555, pp. 84 - 91
A square matrix is called diagonally singularizable if holds for some singular matrix ( is the identity matrix). The paper brings several necessary and/or... 
Singularity | Symmetric alternative | Diagonal singularizability | Preservation | Square matrix | MATHEMATICS | MATHEMATICS, APPLIED
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11. Full Text The general coupled matrix equations over generalized bisymmetric matrices
by Dehghan, Mehdi and Hajarian, Masoud
Linear Algebra and Its Applications, ISSN 0024-3795, 2010, Volume 432, Issue 6, pp. 1531 - 1552
In the present paper, by extending the idea of conjugate gradient (CG) method, we construct an iterative method to solve the general coupled matrix equations... 
Generalized bisymmetric matrix | Least Frobenius norm solution group | Iterative method | General coupled matrix equations | Optimal approximation generalized bisymmetric solution group | OPTIMAL APPROXIMATION | MATHEMATICS, APPLIED | bisymmetric solution group | SYLVESTER EQUATIONS | REGULAR-RINGS | EFFICIENT ITERATIVE METHOD | SYMMETRIC-SOLUTIONS | LEAST-SQUARES SOLUTIONS | IDENTIFICATION | General Coupled matrix equations | REFLEXIVE SOLUTIONS | Optimal approximation generalized | SYSTEMS
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12. Full Text Harmonic Analysis on Symmetric Spaces - Higher Rank Spaces, Positive Definite Matrix Space and Generalizations
by Terras, Audrey
04/2016, 2nd ed. 2016, ISBN 1493934066, 501
Abstract Harmonic Analysis | Geometry | Statistical Theory and Methods | Mathematics | Number Theory | Applications of Mathematics | Combinatorics
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13. Full Text Tracking of Extended Objects and Group Targets Using Random Matrices
by Feldmann, M and Fränken, Dietrich and Koch, W
IEEE Transactions on Signal Processing, ISSN 1053-587X, 04/2011, Volume 59, Issue 4, pp. 1409 - 1420
The task of tracking extended objects or (partly) unresolvable group targets raises new challenges for both data association and track maintenance. Due to... 
Target tracking | Symmetric matrices | group targets | Bayesian methods | formations | random matrices | Measurement uncertainty | sensor resolution | Kinematics | Extended targets | Approximation methods | Equations | target tracking | MAINTENANCE | ENGINEERING, ELECTRICAL & ELECTRONIC | Bayesian statistical decision theory | Random matrices | Usage | Innovations | Signal processing | Sensors | Methods | Bayesian analysis | Object extensions | Tasks | Tracking | Mathematical analysis | Error detection | Spreads | Maintenance
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14. Full Text Pfaffians of Toeplitz payoff matrices
by Evans, Ron and Wallach, Nolan
Linear Algebra and Its Applications, ISSN 0024-3795, 09/2019, Volume 577, pp. 114 - 120
The purpose of this paper is to evaluate the Pfaffians of certain Toeplitz payoff matrices associated with integer choice matrix games. 
Payoff matrix | Toeplitz skew-symmetric matrix | Matrix game | Pfaffian | Nullity | MATHEMATICS | MATHEMATICS, APPLIED
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15. Full Text Random matrices: Universality of local eigenvalue statistics
by Tao, Terence and Vu, Van
Acta Mathematica, ISSN 0001-5962, 3/2011, Volume 206, Issue 1, pp. 127 - 204
In this paper, we consider the universality of the local eigenvalue statistics of random matrices. Our main result shows that these statistics are determined... 
15A52 | Mathematics, general | Mathematics | POLYNOMIALS | MATHEMATICS | WIGNER RANDOM MATRICES | ENSEMBLES | DELOCALIZATION | SEMICIRCLE LAW | SYMMETRIC-MATRICES | CONVERGENCE | BULK UNIVERSALITY | ASYMPTOTICS | SPECTRUM | Eigenvalues | Correlation | Matrices | Mathematical analysis | Matrix methods | Statistics
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16. Full Text Measurement Matrix Design for Compressive Sensing-Based MIMO Radar
by Yao Yu and Petropulu, A. P and Poor, H. V
IEEE Transactions on Signal Processing, ISSN 1053-587X, 11/2011, Volume 59, Issue 11, pp. 5338 - 5352
In colocated multiple-input multiple-output (MIMO) radar using compressive sensing (CS), a receive node compresses its received signal via a linear... 
multiple-input multiple-output (MIMO) radar | direction of arrival (DOA) estimation | Symmetric matrices | Compressive sensing | MIMO radar | Transmitting antennas | Receiving antennas | Coherence | measurement matrix | Sensors | Sparse matrices | SIGNAL RECOVERY | ENGINEERING, ELECTRICAL & ELECTRONIC | Signal processing | Usage | Random noise theory | Simulation methods | Innovations | MIMO communications | Studies | Radar | Waveforms | Gaussian | Matrices | Criteria | Detection | Position (location) | Optimization
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17. Full Text Fast Approximate Joint Diagonalization Incorporating Weight Matrices
by Tichavsky, P and Yeredor, A
IEEE Transactions on Signal Processing, ISSN 1053-587X, 03/2009, Volume 57, Issue 3, pp. 878 - 891
We propose a new low-complexity approximate joint diagonalization (AJD) algorithm, which incorporates nontrivial block-diagonal weight matrices into a weighted... 
auto regressive processes | Source separation | Symmetric matrices | Predictive models | Biomedical computing | Blind source separation | Covariance matrix | blind source separation (BSS) | Signal processing algorithms | Approximate joint diagonalization (AJD) | Iterative algorithms | Large-scale systems | nonstationary random processes | Autoregressive processes | Nonstationary random processes | Auto regressive processes | Blind source separation (BSS) | 2ND-ORDER STATISTICS | MIXTURE | BLIND SOURCE SEPARATION | GAUSSIAN SOURCES | ADDITIVE NOISE | ALGORITHMS | auto-regressive processes | ENGINEERING, ELECTRICAL & ELECTRONIC | Usage | Asymptotes | Stochastic processes | Analysis | Autoregression (Statistics) | Signal processing | Research | Studies | Algorithms | Approximation | Asymptotic properties | Mathematical analysis | Blocking | Matrices | Matrix methods | Optimization
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18. Full Text Minimal matrices in the Bruhat order for symmetric (0,1)-matrices
by da Cruz, Henrique F and Fernandes, Rosário and Furtado, Susana
Linear Algebra and Its Applications, ISSN 0024-3795, 10/2017, Volume 530, pp. 160 - 184
In this paper we study the minimal matrices for the Bruhat order on the class of symmetric -matrices with given row sum vector. We will show that, when... 
Term rank | Symmetric matrices | Minimal matrices | [formula omitted]-matrices | Bruhat order | (0,1)-matrices | MATHEMATICS | MATHEMATICS, APPLIED | ROW
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19. Full Text Robust estimation of structured scatter matrices in (mis)matched models
by Mériaux, Bruno and Ren, Chengfang and El Korso, Mohammed Nabil and Breloy, Arnaud and Forster, Philippe
Signal Processing, ISSN 0165-1684, 12/2019, Volume 165, pp. 163 - 174
Covariance matrix estimation is a ubiquitous problem in signal processing. In most modern signal processing applications, data are generally modeled by... 
Scatter matrix estimation | Structured covariance matrix | Complex elliptically symmetric distributions | Mismatched framework | BOUNDS | CALCULUS | MULTIVARIATE LOCATION | KRONECKER | ENGINEERING, ELECTRICAL & ELECTRONIC | Signal processing | Models | Algorithms | Analysis | Engineering Sciences | Signal and Image processing
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20. Full Text Matrices, characters and descents
by Adin, Ron M and Roichman, Yuval
Linear Algebra and Its Applications, ISSN 0024-3795, 03/2015, Volume 469, pp. 381 - 418
A new family of asymmetric matrices of Walsh–Hadamard type is introduced. We study their properties and, in particular, compute their determinants and discuss... 
Walsh–Hadamard matrices | Character formulas | Descents | Symmetric group | WalshHadamard matrices | MATHEMATICS | MATHEMATICS, APPLIED | PERMUTATIONS | REPRESENTATIONS | INVARIANTS | Walsh-Hadamard matrices | FINITE-GROUPS
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