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Linear Algebra and Its Applications, ISSN 0024-3795, 06/2019, Volume 571, pp. 41 - 57
The of a simple connected graph is denoted by , and is defined by , where is the resistance distance between the vertices and of . In this paper, we consider... 
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
IEEE Transactions on Circuits and Systems for Video Technology, ISSN 1051-8215, 07/2017, Volume 27, Issue 7, pp. 1392 - 1405
Journal Article
Nuclear Physics, Section B, ISSN 0550-3213, 2008, Volume 803, Issue 1, pp. 1 - 41
We calculate the massive operator matrix elements for the twist-2 operators, which contribute to the heavy flavor Wilson coefficients in unpolarized deeply... 
INELASTIC STRUCTURE FUNCTIONS | ABELIAN GAUGE THEORIES | SMALL-DISTANCE-BEHAVIOUR | BROKEN SCALE INVARIANCE | MELLIN-BARNES INTEGRALS | QCD CORRECTIONS | BACKGROUND FIELD METHOD | QUANTUM-CHROMODYNAMICS | TO-LEADING ORDER | GREATER-THAN M | PHYSICS, PARTICLES & FIELDS
Journal Article
Linear Algebra and Its Applications, ISSN 0024-3795, 02/2019, Volume 563, pp. 1 - 23
Let and denote the distance matrix and diagonal matrix of the vertex transmissions of a simple connected graph , respectively. The distance signless Laplacian... 
Distance signless Laplacian matrix | Graph operation | Spectral radius | Distance matrix | Spectrum | MATHEMATICS | MATHEMATICS, APPLIED | BOUNDS | SPECTRAL-RADIUS | LAPLACIAN EIGENVALUES | Lower bounds | Spectra
Journal Article
IEEE Signal Processing Letters, ISSN 1070-9908, 02/2019, Volume 26, Issue 2, pp. 262 - 266
Journal Article
IEEE Transactions on Information Theory, ISSN 0018-9448, 11/2019, pp. 1 - 1
Gabidulin codes are the first general construction of linear codes that are maximum rank distant (MRD). They have found applications in linear network coding,... 
network coding | distributed systems | Gabidulin codes | rank distance
Journal Article
The Annals of Statistics, ISSN 0090-5364, 2/2015, Volume 43, Issue 1, pp. 177 - 214
Journal Article
Journal of Computational and Applied Mathematics, ISSN 0377-0427, 07/2018, Volume 336, pp. 219 - 234
Using the modified matrix–vector approach and the differential calculus, we study the structured condition numbers for LU, Cholesky and QR factorizations of... 
Structured condition number | LU factorization | Structured matrix | Cholesky factorization | QR factorization | LINEAR-SYSTEMS | MATHEMATICS, APPLIED | SR DECOMPOSITION | DISTANCES | RIGOROUS PERTURBATION BOUNDS | COMPONENTWISE CONDITION NUMBERS | SENSITIVITY-ANALYSIS | BACKWARD ERROR | EIGENVALUE CONDITION NUMBERS
Journal Article
Pattern Recognition Letters, ISSN 0167-8655, 12/2019, Volume 128, pp. 237 - 243
Real-world data such as digital images, MRI scans and electroencephalography signals are naturally represented as matrices with structural information. Most... 
Generalization bounds | Multi-distance support matrix machine | Vapnik–Chervonenkis dimension | Rademacher complexity
Journal Article
Linear Algebra and Its Applications, ISSN 0024-3795, 09/2018, Volume 552, pp. 239 - 255
In this article we study the distance , measured in the Frobenius norm, of a tridiagonal matrix to the set of similarly structured irreducible normal matrices.... 
r-Toeplitz matrix | Normal matrix | Structured distance | Tridiagonal matrix | Distance | Frobenius norm | MATHEMATICS | EIGENVALUES | MATHEMATICS, APPLIED | DEPARTURE
Journal Article
European Journal of Applied Mathematics, ISSN 0956-7925, 05/2018, Volume 30, Issue 3, pp. 1 - 23
We propose unbalanced versions of the quantum mechanical version of optimal mass transport that is based on the Lindblad equation describing open quantum... 
Fisher-Rao information | quantum mechanics | Optimal mass transport | matrix-valued densities | Wasserstein metric | MATHEMATICS, APPLIED | HELLINGER-KANTOROVICH DISTANCE | OPTIMAL TRANSPORT | MASS-TRANSPORT | FLOW | Interpolation | Density | Quantum mechanics | Dependence
Journal Article
Applied Mathematics and Computation, ISSN 0096-3003, 07/2014, Volume 238, pp. 468 - 474
In this paper, we study the set of cell matrices and its relationship with the cone of positive semidefinite diagonal matrices. The set forms a convex... 
Cell matrices | Positive semidefinite matrix | Euclidean distance matrices | MATHEMATICS, APPLIED | FACES | Mathematical models | Computation | Matrices (mathematics) | Mathematical analysis | Matrix methods | Inequalities
Journal Article
Numerical Linear Algebra with Applications, ISSN 1070-5325, 03/2013, Volume 20, Issue 2, pp. 302 - 326
Journal Article
Numerical Linear Algebra with Applications, ISSN 1070-5325, 10/2019, Volume 26, Issue 5, p. n/a
Summary In this article, we extend the results for Toeplitz matrices obtained by Noschese, Pasquini, and Reichel. We study the distance d, measured in the... 
structured distance | normal matrix | 2‐Toeplitz matrix | real tridiagonal matrix | eigenvalues | 2-Toeplitz matrix | MATHEMATICS | MATHEMATICS, APPLIED | DEPARTURE | NORMALITY | Operators (mathematics) | Eigenvalues | Eigen values
Journal Article
Linear Algebra and Its Applications, ISSN 0024-3795, 02/2019, Volume 562, pp. 135 - 153
If and , we define the product as , where ⊗ denotes the Kronecker product and is the matrix of all ones. We refer to this product as the Cartesian product of... 
Predistance matrix | Tree | Positive semidefinite matrix | Cartesian product of graphs | Euclidean distance matrix | Moore–Penrose inverse | MATHEMATICS | MATHEMATICS, APPLIED | Moore-Penrose inverse | Apexes | Euclidean geometry | Cartesian coordinates
Journal Article
Discrete Applied Mathematics, ISSN 0166-218X, 03/2019, Volume 256, pp. 5 - 10
This paper presents the theoretical properties of an algorithm to find a realization of a (full) Euclidean distance matrix in the smallest possible embedding... 
Sphere intersection | Embedding dimension | Distance geometry | Euclidean distance matrix | MATHEMATICS, APPLIED | GEOMETRY | Algorithms | Embedding | Euclidean geometry | Computer Science | Operations Research
Journal Article
Discrete Applied Mathematics, ISSN 0166-218X, 12/2018, Volume 251, pp. 299 - 309
In this paper we introduce a new graph matrix, named the anti-adjacency matrix or eccentricity matrix, which is constructed from the distance matrix of a graph... 
Eigenvalues | Adjacency matrix | Distance | Distance matrix | Eccentricity matrix | MATHEMATICS, APPLIED | Graphs | Mathematics | Matrix | Eccentricity | Eigen values
Journal Article
IEEE Transactions on Information Theory, ISSN 0018-9448, 09/2019, Volume 65, Issue 9, pp. 5401 - 5405
Journal Article