Results 111 to 120 of about 622,326 (127)

A New Bidiagonal Factorization of Totally Nonnegative Matrices

Journal of Computational and Theoretical Nanoscience, 2016
Mohamed Ramadan
exaly   +2 more sources

Efficient Recognition of Totally Nonnegative Matrix Cells

Foundations of Computational Mathematics, 2013
The space of m×p totally nonnegative real matrices has a stratification into totally nonnegative cells. The largest such cell is the space of totally positive matrices.
Stéphane Launois
exaly   +2 more sources

Totally Nonnegative,M-, and Jacobi Matrices

SIAM Journal on Algebraic Discrete Methods, 1980
It is shown among other results that a nonsingular M-matrix is a Jacobi matrix if and only if its inverse is totally nonnegative and it is a normal Jacobi matrix if and only if its inverse is oscillatory.This is an extension of a previous result of Markham [Proc. Amer. Math. Soc., 161 (1912), pp. 326–330].
openaire   +3 more sources

Partially decomposable and totally indecomposable nonnegative matrices

Mathematical Notes, 1996
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Bolotnikov, Yu. V., Tarakanov, V. E.
openaire   +1 more source

A finite-step construction of totally nonnegative matrices with specified eigenvalues

Numerical Algorithms, 2015
The authors focus on an inverse eigenvalue problem related to banded totally nonnegative (TN) matrices, which can be expressed by products of other bidiagonal TN matrices. Following an approach already presented in the literature, the authors study the eigenvalue problem from the point of view of the discrete hungry Toda (dhToda) equation.
Kanae Akaiwa, Yoshimasa Nakamura, Masashi Iwasaki, Hisayoshi Tsutsumi, Koichi Kondo   +4 more
openaire   +1 more source

An inverse eigenvalue problem for totally nonnegative matrices

Linear and Multilinear Algebra, 1985
In a previous paper we proved that the diagonal elements of a totally nonnegative matrix are majorized by its eigenvalues. In this note we show that the majorization of a vector of nonnegative real numbers by another vector of nonnegative real numbers is not sufficient for the existence of a totally nonnegative matrix with diagonal elements taken from ...
openaire   +1 more source

Vertex Implications for Totally Nonnegative Matrices

1996
Considered are matrix intervals, i.e. families of real matrices which are known to lie between two given matrices, the so—called corner matrices. Here the underlying partial ordering is the chequerboard partial ordering. We present conditions under which total nonnegativity can be ascertained for a matrix interval by checking only a subset of the ...
openaire   +1 more source

On classes of matrices containing M-matrices, totally nonnegative and hermitian positive semidefinite matrices

, 1982
Mehrmann V. On classes of matrices containing M-matrices, totally nonnegative and hermitian positive semidefinite matrices.
Mehrmann, Volker
openaire   +2 more sources

Bidiagonal Factorization of Totally Nonnegative Rectangular Matrices

2006
Maite Gassó, Juan R. Torregrosa
openaire   +2 more sources

Totally Positive and Totally Nonnegative Matrices

2006
openaire   +1 more source