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Accurate computation of the Moore–Penrose inverse of strictly totally positive matrices [PDF]

Journal of Computational and Applied Mathematics, 2019
The computation of the Moore-Penrose inverse of structured strictly totally positive matrices is addressed. Since these matrices are usually very ill-conditioned, standard algorithms fail to provide accurate results.
Ana Marco, Jose-Javier Martinez
exaly   +2 more sources

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Proof of a conjecture on the total positivity of amazing matrices

Advances in Applied Mathematics, 2022
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Jianxi Mao, Yi Wang
openaire   +2 more sources

On the characterization of almost strictly totally positive matrices

Advances in Computational Mathematics, 1995
An algorithmic characterization of almost strictly totally positive matrices by Neville elimination is given. Moreover, a determinantal characterization of them is proved in terms of the positivity of a very reduced number of their minors and also in terms of their factorizations.
Mariano Gasca, Juan Manuel Peña 0001
openaire   +1 more source

On the Characterization of Totally Positive Matrices

1992
We present a survey of recent results on the characterization of totally positive and strictly totally positive matrices. Included are some new characterizations which we have obtained in recent papers by using Neville elimination.
M. Gasca, J. M. Peña
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Characterizations and Decompositions of Almost Strictly Positive Matrices

SIAM Journal on Matrix Analysis and Applications, 2006
A nonsingular matrix is called almost strictly totally positive when all its minors are nonnegative, and furthermore these minors are positive if and only if their diagonal entries are positive.
M Gasca, J M Pena
exaly   +1 more source

Note on total positivity for a class of recursive matrices

J. Integer Seq., 2016
Summary: In this note, we study the total positivity of a class of infinite recursive matrices that depend on three infinite sets of independent variables and on an integer parameter. We give a simple algebraic proof and provide a few examples.
Liang Zhao, Fengyao Yan
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Eigenvalue Localization for Totally Positive Matrices

2009
We survey eigenvalue localization results for totally positive matrices and we show its potential application in several problems. We first recall some localization results for the real eigenvalues of the real matrices and which can be considered an alternative to Gerschgorin disks, because they provide a sharper information in cases where the ...
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Totally positive matrices

Choice Reviews Online, 2011
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Accurate computations of matrices with bidiagonal decomposition using methods for totally positive matrices

Numerical Linear Algebra With Applications, 2013
A Barreras, J M Pena
exaly  

Norm estimates for the inverses of matrices of monotone type and totally positive matrices

Siberian Mathematical Journal, 2009
Yu S Volkov, Volkov Yu S
exaly