Convex matrix equations

DOI10.1090/S0002-9904-1972-13070-2zbMath0262.15011MaRDI QIDQ5677597

Robert J. Plemmons, J. S. Montague

Publication date: 1972

Published in: Bulletin of the American Mathematical Society (Search for Journal in Brave)

Mathematics Subject Classification ID

General structure theory for semigroups (20M10) Matrix equations and identities (15A24) Inequalities and extremum problems involving convexity in convex geometry (52A40) Algebraic systems of matrices (15A30)

Related Items

Green's relations for substochastic matrices ⋮ A geometric treatment of generalized inverses and semigroups of nonnegative matrices ⋮ The doubly stochastic matrix equationsx:a^ty= A and X A^ty=^t ⋮ Inverses of nonnegative matrices ⋮ Algebraic systems of matrices and Gröbner basis theory ⋮ Conference celebrating the 60th birthday of Robert J. Plemmons. Papers from the conference, Winston-Salem, NC, USA, January 1999 ⋮ Dedication to Robert J. Plemmons ⋮ Unnamed Item ⋮ Group majorization, the convex hulls of sets of matrices, and the diagonal element - singular value inequalities ⋮ Unnamed Item

Cites Work

• On a convex set of matrices
• Doubly stochastic matrix equations
• On the characterization of least upper bound norms in matrix space
• The matrix equation \(AXB=X\)
• On a Result of S. Sherman Concerning Doubly Stochastic Matrices
• Results and problems in the theory of doubly-stochastic matrices
• The semigroup of doubly-stochastic matrices
• A Correction to "On a Conjecture Concerning Doubly Stochastic Matrices"
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