Some outstanding problems in the theory of matrices

DOI10.1080/03081088208817476zbMath0494.15002OpenAlexW1965956259MaRDI QIDQ3957076

Charles R. Johnson

Publication date: 1982

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

Full work available at URL: https://doi.org/10.1080/03081088208817476

zbMATH Keywords

similarityprincipal minorsD-stabilitydeterminant optimization combinatorial problemsgeometriy of classes of matricesoutstanding problems

Mathematics Subject Classification ID

Combinatorial aspects of matrices (incidence, Hadamard, etc.) (05B20) Determinants, permanents, traces, other special matrix functions (15A15) Eigenvalues, singular values, and eigenvectors (15A18) Canonical forms, reductions, classification (15A21) Research exposition (monographs, survey articles) pertaining to linear algebra (15-02)

Related Items

Spectra of matrices with P-matrix powers, Essential sign change numbers of full sign pattern matrices, On the period and base of a sign pattern matrix, Computing final polynomials and final syzygies using Buchberger's Gröbner bases method, The principal rank characteristic sequence over various fields, Zero forcing for sign patterns, Improving Hadamard's inequality^*, Minimum ranks of sign patterns and zero-nonzero patterns and point-hyperplane configurations, Rational realization of the minimum ranks of nonnegative sign pattern matrices, Rational realizations of the minimum rank of a sign pattern matrix, Sign patterns with minimum rank 2 and upper bounds on minimum ranks, The problem of generalized \(D\)-stability in unbounded LMI regions and its computational aspects

Cites Work

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• Row Stochastic Matrices Similar to Doubly Stochastic Matrices
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• The Hadamard Maximum Determinant Problem