Matrix Group Monotonicity

DOI10.2307/2039929zbMath0312.15002OpenAlexW4242126482MaRDI QIDQ4071370

Robert J. Plemmons, Abraham Berman

Publication date: 1974

Full work available at URL: https://doi.org/10.2307/2039929

Mathematics Subject Classification ID

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

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On weak r-monotonicity ⋮ Nonnegative generalized inverses of powers of non-negative matrices ⋮ Interval Drazin monotonicity of matrices ⋮ Decomposition of Nonnegative Group-Monotone Matrices ⋮ Nonnegative matrices having nonnegative Drazin pseudoinverses ⋮ Nonnegative Drazin inverses ⋮ Generalizations of matrix monotonicity and their relationships with certain subclasses of proper splittings ⋮ Nonnegative integral generalized inverses ⋮ \(B_D\)-splittings of matrices ⋮ A geometric treatment of generalized inverses and semigroups of nonnegative matrices ⋮ Decomposition of generalized polynomial symmetric matrices. ⋮ A note on nonnegative rank factorizations ⋮ Nonnegative matrices \(A\) with \(AA^\#\geqslant 0\). ⋮ Some further results on matrix monotonicity ⋮ Matrix group monotonicity using a dominance notion ⋮ On the nonnegative rank of Euclidean distance matrices ⋮ Eight types of matrix monotonicity ⋮ Group inverses of certain nonnegative matrices ⋮ MP matrices ⋮ Analysis of non-reversible Markov chains via similarity orbits ⋮ More on generalizations of matrix monotonicity ⋮ Conference celebrating the 60th birthday of Robert J. Plemmons. Papers from the conference, Winston-Salem, NC, USA, January 1999 ⋮ Dedication to Robert J. Plemmons ⋮ A note on index-proper multisplittings of matrices ⋮ Drazin-monotonicity characterizations for property-n matrices ⋮ Looking for nonnegative solutions of a Leontief dynamic model.

Cites Work

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• Nonnegative matrices which are equal to their generalized inverse
• Which Nonnegative Matrices Are Self-Inverse?
• Inverses of nonnegative matrices
• Primes in the semigroup of non-negative matrices
• Inverses of Rank Invariant Powers of a Matrix
• The Generalized Inverse of a Nonnegative Matrix
• Cones and Iterative Methods for Best Least Squares Solutions of Linear Systems
• Monotonicity and the Generalized Inverse

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