Results 201 to 210 of about 10,270 (229)

Compressions of Totally Positive Matrices

SIAM Journal on Matrix Analysis and Applications, 2006
The paper deals with the total positivity of the compressed matrix of a totally positive matrix \(A\). Consider \(nk \times nk\) partitioned matrices \(A=(A_{ij})_{i,j=1}^k\), in which each block \(A_{ij}\) is \(n \times n\). The \(k \times k\) compressed matrix is defined by \[ C_k(A)=(\det A_{ij})_{i,j=1}^k.
Allen Herman, Shaun M Fallat
exaly   +3 more sources

Almost strictly totally positive matrices

Numerical Algorithms, 1992
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Juan Manuel Pena   +2 more
exaly   +2 more sources

On the Relationship Between Graphs and Totally Positive Matrices

SIAM Journal on Matrix Analysis and Applications, 1998
A real matrix is totally positive if all its minors are non-negative. It is shown that properties of totally positive matrices can be applied to graph theory and vice versa. In fact, some properties of undirected and directed graphs are characterized in terms of the associated totally positive matrices.
Juan Manuel Pena
exaly   +3 more sources

A Totally Positive Factorization of Rectangular Matrices by the Neville Elimination

SIAM Journal on Matrix Analysis and Applications, 2004
The authors describe a variant of the Neville elimination process for a real matrix with all non-negative minors. Such a matrix is called a totally positive \((TP)\) matrix. The proposed method is called quasi-Neville method, it allows, for every rectangular \(TP\) matrix \(A\), a factorization \(A=LS\), where \(L\) is a lower echelon form matrix and \(
Juan R Torregrosa
exaly   +2 more sources

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 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
openaire   +1 more source

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