2007, Discrete mathematics and its applications, ISBN 9781584885108, 1 v. (various pagings)

Book

2015, Second edition., ISBN 1498701159, xiv, 160

Graph-Theoretical Matrices in Chemistry presents a systematic survey of graph-theoretical matrices and highlights their potential uses. This comprehensive...

Molecules | Models | Chemical structure | Chemistry | Combinatorics | Physical Chemistry | Matrices

Molecules | Models | Chemical structure | Chemistry | Combinatorics | Physical Chemistry | Matrices

Book

Linear Algebra and Its Applications, ISSN 0024-3795, 05/2019, Volume 568, pp. 10 - 28

We investigate the Smith Normal Form (SNF) of alternating sign matrices (ASMs) and related matrices of 0's and 1's ((0,1)-matrices). We identify certain...

Alternating sign matrix | Rank | Bipartite graph | Smith normal form | Convex [formula omitted]-matrix | Convex (0,1)-matrix | MATHEMATICS | MATHEMATICS, APPLIED | Graph theory

Alternating sign matrix | Rank | Bipartite graph | Smith normal form | Convex [formula omitted]-matrix | Convex (0,1)-matrix | MATHEMATICS | MATHEMATICS, APPLIED | Graph theory

Journal Article

2011, Encyclopedia of mathematics and its applications, ISBN 9780521461931, Volume 139., viii, 197

"Simplex geometry is a topic generalizing geometry of the triangle and tetrahedron. The appropriate tool for its study is matrix theory, but applications...

Geometry | Matrices | Graphic methods | Graph theory

Geometry | Matrices | Graphic methods | Graph theory

Book

2011, De Gruyter studies in mathematics, ISBN 3110254085, Volume 41., xvi, 308

Book

1993, Lecture notes in pure and applied mathematics, ISBN 0824787900, Volume 139, xv, 314

Book

1986, Monographs on numerical analysis., ISBN 9780198534082, xiii, 341

Book

SIAM Journal on Scientific Computing, ISSN 1064-8275, 2014, Volume 36, Issue 5, pp. C568 - C590

For outer-product-parallel sparse matrix-matrix multiplication (SpGEMM) of the form C = AxB, we propose three hypergraph models that achieve simultaneous...

Parallel computing | Matrix partitioning | Sparse matrices | Hypergraph partitioning | Sparse matrix-matrixmultiplication | SpGEMM | matrix partitioning | hypergraph partitioning | DENSITY-MATRIX | MATHEMATICS, APPLIED | MOLECULAR-DYNAMICS | sparse matrix-matrix multiplication | SEARCH | IMPLEMENTATION | DIAGONALIZATION | parallel computing | sparse matrices | Multiplication | Algorithms | Partitioning | Computation | Replication | Mathematical models | Libraries | Two dimensional

Parallel computing | Matrix partitioning | Sparse matrices | Hypergraph partitioning | Sparse matrix-matrixmultiplication | SpGEMM | matrix partitioning | hypergraph partitioning | DENSITY-MATRIX | MATHEMATICS, APPLIED | MOLECULAR-DYNAMICS | sparse matrix-matrix multiplication | SEARCH | IMPLEMENTATION | DIAGONALIZATION | parallel computing | sparse matrices | Multiplication | Algorithms | Partitioning | Computation | Replication | Mathematical models | Libraries | Two dimensional

Journal Article

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

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

Journal Article

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

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

Journal Article

2011, CBMS regional conference series in mathematics, ISBN 0821853155, Volume no. 115, ix, 96

Book

1972, Lecture notes in mathematics, ISBN 9780387060354, Volume 292., 508

Book

2006, ASA-SIAM series on statistics and applied probability, ISBN 0898716071, xvi, 214

Book

Mathematical Programming, ISSN 0025-5610, 3/2018, Volume 168, Issue 1, pp. 509 - 531

The class of matrix optimization problems (MOPs) has been recognized in recent years to be a powerful tool to model many important applications involving...

Spectral operators | 65K05 | Fréchet differentiability | Theoretical, Mathematical and Computational Physics | Proximal mappings | 90C06 | Mathematics | Directional differentiability | Matrix valued functions | Mathematical Methods in Physics | Calculus of Variations and Optimal Control; Optimization | Mathematics of Computing | 90C25 | 49J52 | Numerical Analysis | 49J50 | Combinatorics | GRAPH | NONSMOOTH ANALYSIS | MATHEMATICS, APPLIED | APPROXIMATION | CONSTRAINT NONDEGENERACY | RANK | COMPUTER SCIENCE, SOFTWARE ENGINEERING | OPERATIONS RESEARCH & MANAGEMENT SCIENCE | AUGMENTED LAGRANGIAN METHOD | SINGULAR-VALUES | OPTIMIZATION | Frechet differentiability | VALUED FUNCTIONS | Operators (mathematics) | Mathematical analysis | Numerical methods | Mopping | Mathematical models | Spectra | Optimization

Spectral operators | 65K05 | Fréchet differentiability | Theoretical, Mathematical and Computational Physics | Proximal mappings | 90C06 | Mathematics | Directional differentiability | Matrix valued functions | Mathematical Methods in Physics | Calculus of Variations and Optimal Control; Optimization | Mathematics of Computing | 90C25 | 49J52 | Numerical Analysis | 49J50 | Combinatorics | GRAPH | NONSMOOTH ANALYSIS | MATHEMATICS, APPLIED | APPROXIMATION | CONSTRAINT NONDEGENERACY | RANK | COMPUTER SCIENCE, SOFTWARE ENGINEERING | OPERATIONS RESEARCH & MANAGEMENT SCIENCE | AUGMENTED LAGRANGIAN METHOD | SINGULAR-VALUES | OPTIMIZATION | Frechet differentiability | VALUED FUNCTIONS | Operators (mathematics) | Mathematical analysis | Numerical methods | Mopping | Mathematical models | Spectra | Optimization

Journal Article

Applied Mathematics and Computation, ISSN 0096-3003, 11/2017, Volume 312, pp. 149 - 157

Let M (C) denote the space of n × n matrices with entries in C. We define the energy of A∈M (C) as E(A)=∑k=1n|λ −[formula presented]|where λ ,…,λ are the...

Energy of graphs | Energy of matrices | MATHEMATICS, APPLIED | GRAPH ENERGIES | BOUNDS | NORMALIZED LAPLACIAN ENERGY | MATCHING ENERGY | DIGRAPHS | INDEX | RANDIC ENERGY

Energy of graphs | Energy of matrices | MATHEMATICS, APPLIED | GRAPH ENERGIES | BOUNDS | NORMALIZED LAPLACIAN ENERGY | MATCHING ENERGY | DIGRAPHS | INDEX | RANDIC ENERGY

Journal Article

1991, Encyclopedia of mathematics and its applications, ISBN 0521322650, Volume 39., ix, 367

This book, first published in 1991, is devoted to the exposition of combinatorial matrix theory. This subject concerns itself with the use of matrix theory and...

Matrices | Combinatorial analysis

Matrices | Combinatorial analysis

Book

Linear Algebra and Its Applications, ISSN 0024-3795, 06/2019, Volume 571, pp. 41 - 57

The resistance matrix of a simple connected graph G is denoted by R, and is defined by R=(rij), where rij is the resistance distance between the vertices i and...

Resistance matrix | Matrix weighted graph | Laplacian matrix | Inverse | Inertia | Moore–Penrose inverse | MATHEMATICS | MATHEMATICS, APPLIED | DISTANCE MATRIX | Moore-Penrose inverse | Eigenvalues | Apexes | Mathematical analysis | Matrix methods

Resistance matrix | Matrix weighted graph | Laplacian matrix | Inverse | Inertia | Moore–Penrose inverse | MATHEMATICS | MATHEMATICS, APPLIED | DISTANCE MATRIX | Moore-Penrose inverse | Eigenvalues | Apexes | Mathematical analysis | Matrix methods

Journal Article

1993, ISBN 9780849342462, xi, 308

Book

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