LAUSR

Maximal rank in matrix spaces via graph matchings

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1 Published in 2017 at "Linear Algebra and its Applications"

DOI: 10.1016/j.laa.2017.04.016

Abstract: Let Mn(F)Mn(F) be the space of n×nn×n matrices over a field FF. A matrix A=(A(i,j))i,j=1n∈Mn(F) is weakly symmetric if A(i,j)≠0A(i,j)≠0 iff A(j,i)≠0A(j,i)≠0 holds for all i, j  . A matrix is alternating if it is… read more here.

Keywords: space; matrix spaces; maximal rank; rank matrix ... See more keywords

Congruence of matrix spaces, matrix tuples, and multilinear maps

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1 Published in 2021 at "Linear Algebra and its Applications"

DOI: 10.1016/j.laa.2020.09.018

Abstract: Abstract Two matrix vector spaces V , W ⊂ C n × n are said to be equivalent if S V R = W for some nonsingular S and R. These spaces are congruent if… read more here.

Keywords: matrix tuples; tuples multilinear; matrix spaces; congruence matrix ... See more keywords

MCMC Algorithms for Posteriors on Matrix Spaces

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3 Published in 2022 at "Journal of Computational and Graphical Statistics"

DOI: 10.1080/10618600.2022.2058953

Abstract: We study Markov chain Monte Carlo (MCMC) algorithms for target distributions defined on matrix spaces. Such an important sampling problem has yet to be analytically explored. We carry out a major step in covering this… read more here.

Keywords: mcmc algorithms; algorithms posteriors; posteriors matrix; pcn ... See more keywords