Nonnegative Matrices A Such that $Ax = b$ has Nonnegative Best Approximate Solution

DOI10.1137/0603020zbMath0491.15001OpenAlexW2086590871MaRDI QIDQ3952244

Yoshimi Egawa, Surender Kumar Jain

Publication date: 1982

Published in: SIAM Journal on Algebraic Discrete Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1137/0603020

zbMATH Keywords

inverse-positivitynonnegative best approximate solutionsnonnegative least squares solution

Mathematics Subject Classification ID

Numerical solutions to overdetermined systems, pseudoinverses (65F20) Numerical mathematical programming methods (65K05) Linear programming (90C05) Theory of matrix inversion and generalized inverses (15A09) Positive matrices and their generalizations; cones of matrices (15B48)

Related Items (max. 100)

Linear systems having nonnegative least squares solution

Cites Work

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• Nonnegative integral generalized inverses
• Group inverses of certain nonnegative matrices
• Decomposition of Nonnegative Group-Monotone Matrices
• Nonnegative $\lambda $-Monotone Matrices
• The Growth of Powers of a Nonnegative Matrix
• Inverses of nonnegative matrices
• Nonnegative matrices having same nonnegative moore-penrose and group inverses
• The Generalized Inverse of a Nonnegative Matrix
• Monotonicity and the Generalized Inverse

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