\(M\)-matrices whose inverses are totally positive

DOI10.1016/0024-3795(93)00244-TzbMath0827.15022WikidataQ126550725 ScholiaQ126550725MaRDI QIDQ1893114

Juan Manuel Peña

Publication date: 3 July 1995

Published in: Linear Algebra and its Applications (Search for Journal in Brave)

zbMATH Keywords

\(M\)-matrixtridiagonal matrixtotally positive matrix

Mathematics Subject Classification ID

Theory of matrix inversion and generalized inverses (15A09) Positive matrices and their generalizations; cones of matrices (15B48)

Related Items (11)

Eigenvalue localization and neville elimination ⋮ Characterizations and accurate computations for tridiagonal Toeplitz matrices ⋮ Accurate computations of matrices with bidiagonal decomposition using methods for totally positive matrices ⋮ Backward stability of a pivoting strategy for sign-regular linear systems ⋮ Accurate and fast computations with positive extended Schoenmakers-Coffey matrices ⋮ Gaussian Markov random fields and totally positive matrices ⋮ A class of totally positive \(P\)-matrices whose inverses are \(M\)-matrices ⋮ Dynamic coordination of production planning and sales admission control in the presence of a spot market ⋮ Inverse \(M\)-matrices. II ⋮ Tridiagonal M-matrices whose inverse is tridiagonal and related pentadiagonal matrices ⋮ Numerical analysis of one dimensional motion of magma without mass forces

Cites Work

• Total positivity and Neville elimination
• Almost strictly totally positive matrices
• The inverse M-matrix problem
• Shape preserving representations and optimality of the Bernstein basis
• Total Positivity, $QR$ Factorization, and Neville Elimination
• Nonnegative Matrices whose Inverses are M-Matrices
• Totally positive matrices
• Unnamed Item

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