Results 1 to 10 of about 1,059,097 (264)
On Spectral Properties of Doubly Stochastic Matrices [PDF]
Symmetry, 2020 The relationship among eigenvalues, singular values, and quadratic forms associated with linear transforms of doubly stochastic matrices has remained an important topic since 1949. The main objective of this article is to present some useful theorems, concerning the spectral properties of doubly stochastic matrices.
Javed Hussain +2 more
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Doubly stochastic and combined matrices
Linear and Multilinear Algebra[EN] In this work, doubly stochastic combined matrices are studied. The combined matrix is known as Relative Gain Array in control theory. In particular, the characterization of all matrices such that their combined matrix is doubly stochastic is studied for real matrices of order 3.
Ana Maria Urbano +2 more
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A characterization of even doubly-stochastic matrices [PDF]
Discrete Mathematics, 2009 A doubly-stochastic square matrix is even if it is a convex combination of even permutation matrices. The authors obtain a characterization of an even doubly-stochastic matrix by the even diagonals contained in the matrix.
Joachim von Below
exaly +5 more sources
Doubly stochastic matrices and the Bruhat order [PDF]
Czechoslovak Mathematical Journal, 2016 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Brualdi, Richard A. +2 more
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A note on multivariate majorization [PDF]
Journal of Mahani Mathematical Research, 2022 A matrix $A$ is said to be multivariate majorized by a matrix $B$, written $A\prec B$, if there exists a doubly stochastic matrix $D$ such that $A = BD$ .
Mehdi Dehghanian, Ahmad Mohammadhasani
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Diagonal sums of doubly stochastic matrices [PDF]
Linear and Multilinear Algebra, 2021 Let $Ω_n$ denote the class of $n \times n$ doubly stochastic matrices (each such matrix is entrywise nonnegative and every row and column sum is 1). We study the diagonals of matrices in $Ω_n$. The main question is: which $A \in Ω_n$ are such that the diagonals in $A$ that avoid the zeros of $A$ all have the same sum of their entries.
Richard A. Brualdi, Geir Dahl
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A short note on extreme points of certain polytopes
Special Matrices, 2020 We give a short proof of Mirsky’s result regarding the extreme points of the convex polytope of doubly substochastic matrices via Birkhoff’s Theorem and the doubly stochastic completion of doubly sub-stochastic matrices.
Cao Lei, Hall Ariana, Koyuncu Selcuk
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Corrigendum to “Spectra universally realizable by doubly stochastic matrices”
Special Matrices, 2023 We correct an error in the statement and the proof of Theorem 2.1 and Corollary 2.1 in our previous study [Spec. Matrices 6 (2018), 301–309], Section 2: On nonnegative matrices similar to positive matrices.
Collao Macarena +2 more
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Channel discord and distortion
New Journal of Physics, 2021 Discord, originally notable as a signature of bipartite quantum correlation, in fact can be nonzero classically, i.e. arising from noisy measurements by one of the two parties.
Wei-Wei Zhang +2 more
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The complete positivity of symmetric tridiagonal and pentadiagonal matrices
Special Matrices, 2022 We provide a decomposition that is sufficient in showing when a symmetric tridiagonal matrix AA is completely positive. Our decomposition can be applied to a wide range of matrices.
Cao Lei, McLaren Darian, Plosker Sarah
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