scientific article; zbMATH DE number 825098
From MaRDI portal
Publication:4858123
zbMath0833.15002MaRDI QIDQ4858123
Richard A. Brualdi, Bryan L. Shader
Publication date: 12 December 1995
Title: zbMATH Open Web Interface contents unavailable due to conflicting licenses.
graph theorycombinatorial algorithmssign-solvability\(L\)-matrices\(S\)-matricessign-nonsingular matricessign-stable matrices
Combinatorics in computer science (68R05) Graphs and linear algebra (matrices, eigenvalues, etc.) (05C50) Linear equations (linear algebraic aspects) (15A06) Research exposition (monographs, survey articles) pertaining to linear algebra (15-02)
Related Items (only showing first 100 items - show all)
Stability analysis of diagonally equipotent matrices ⋮ Computing Maximal Autarkies with Few and Simple Oracle Queries ⋮ A survey on bases of sign pattern matrices ⋮ Sign Pattern Matrices ⋮ \(4 \times 4\) irreducible sign pattern matrices that require four distinct eigenvalues ⋮ Majorization for \((0, \pm 1)\)-matrices ⋮ Permutation (Matrices) and Beyond ⋮ Potentially eventually positive broom sign patterns ⋮ Potentially Eventually Positive 2-generalized Star Sign Patterns ⋮ Nonnegative tensors revisited: plane stochastic tensors ⋮ The sepr-sets of sign patterns ⋮ Unnamed Item ⋮ Square nearly nonpositive sign pattern matrices ⋮ On the potential stability of star sign pattern matrices ⋮ The structure of tripotent sign pattern matrices ⋮ From real to complex sign pattern matrices ⋮ Sign conditions for injectivity of generalized polynomial maps with applications to chemical reaction networks and real algebraic geometry ⋮ The Inertia Set of Nonnegative Symmetric Sign Pattern with Zero Diagonal ⋮ Lower bounds for Pólya’s problem on permanent ⋮ G-matrices, J-orthogonal matrices, and their sign patterns ⋮ Rational realization of the minimum ranks of nonnegative sign pattern matrices ⋮ A note on attractivity for the intersection of two discontinuity manifolds ⋮ Strict Sign-Central Matrices ⋮ The number of zeros of a tight sign-central matrix ⋮ Rational realizations of the minimum rank of a sign pattern matrix ⋮ On block triangular matrices with signed Drazin inverse ⋮ Rank decompositions and signed bigraphs ⋮ Hereditary properties of matrices with cut-points ⋮ Threshold function of ray nonsingularity for uniformly random ray pattern matrices ⋮ Potential eventual positivity of sign patterns with the underlying broom graph ⋮ Characterization of star sign patterns that require \(\mathbb{H}_n\) ⋮ Zero sum sign-central matrices and applications ⋮ The Moore-Penrose inverse of matrices with an acyclic bipartite graph ⋮ Principal submatrices of co-order one with the biggest Perron root ⋮ Essential sign change numbers of full sign pattern matrices ⋮ Kräuter conjecture on permanents is true ⋮ The solution of a problem on matrices having signed generalized inverses ⋮ Graph-theoretic criteria for injectivity and unique equilibria in general chemical reaction systems ⋮ Sign patterns for chemical reaction networks ⋮ Stability of matrices with sufficiently strong negative-dominant-diagonal submatrices ⋮ Rational realization of maximum eigenvalue multiplicity of symmetric tree sign patterns ⋮ Minimum rank and maximum eigenvalue multiplicity of symmetric tree sign patterns ⋮ Asymptotic sign-solvability, multiple objective linear programming, and the nonsubstitution theorem ⋮ Nested sequences of principal minors and potential stability ⋮ Characterizations of matrices with nonzero signed row compound ⋮ On the permanent of certain \((0,1)\) Toeplitz matrices ⋮ Ray patterns of matrices and nonsingularity ⋮ Uniformly one-connected matrices and their inverses ⋮ Mixed dominating matrices ⋮ Matching structure of symmetric bipartite graphs and a generalization of Pólya's problem ⋮ Some inheritance properties for complementary basic matrices ⋮ Computing the inertia from sign patterns ⋮ Spectrally arbitrary patterns: Reducibility and the \(2n\) conjecture for \(n = 5\) ⋮ ZPC matrices and zero cycles ⋮ The ray nonsingularity of certain uniformly random ray patterns ⋮ Sign patterns of \(J\)-orthogonal matrices ⋮ Sign patterns allowing nilpotence of index 3 ⋮ Forbidden structures for ray nonsingularity among cycle tree matrices without positive cycles ⋮ The nilpotent-centralizer method for spectrally arbitrary patterns ⋮ A graph-theoretic condition for irreducibility of a set of cone preserving matrices ⋮ Ray pattern of Drazin inverses of some matrices ⋮ On the Gibson barrier for the Pólya problem ⋮ Ray pattern matrices requiring Perron-Frobenius properties ⋮ On the inverse of some sign matrices and on the moments sliding vector field on the intersection of several manifolds: nodally attractive case ⋮ Nilpotent sign patterns of a given index ⋮ \(P\)-matrices and signed digraphs ⋮ Tight sign-central matrices ⋮ Lean clause-sets: Generalizations of minimally unsatisfiable clause-sets ⋮ Trichotomy for integer linear systems based on their sign patterns ⋮ \( \pm 1\)-matrices with vanishing permanent ⋮ A forbidden structure of ray nonsingular matrices ⋮ Two classes of symmetric sign patterns that require unique inertia. ⋮ Number of nonzero entries of \(S^{2}NS\) matrices and matrices with signed generalized inverses. ⋮ Complex-\(L\) matrix and its recognition ⋮ On ray-nonsingular matrices. ⋮ Conditional \(S\)-matrices. ⋮ Matrices with totally signed powers. ⋮ Some block matrices with signed Drazin inverses ⋮ Combinatorial aspects of generalized complementary basic matrices ⋮ Ray nonsingularity of cycle chain matrices ⋮ G-matrices ⋮ On the Pólya conversion problem for permanents and determinants ⋮ Integrally normalizable matrices and zero-nonzero patterns ⋮ A note on sign patterns of order 3 that require particular refined inertias ⋮ Some properties of matrices with signed null spaces. ⋮ Solving linear programs from sign patterns ⋮ Ray nonsingularity of cycle tree matrices ⋮ Sign-solvable linear complementarity problems ⋮ Tan's epsilon-determinant and ranks of matrices over semirings ⋮ Minimum (maximum) rank of sign pattern tensors and sign nonsingular tensors ⋮ The period and base of a reducible sign pattern matrix ⋮ Intrinsic products and factorizations of matrices ⋮ Sign properties of Metzler matrices with applications ⋮ Stability of sign patterns from a system of second order ODEs ⋮ Sign patterns that require almost unique rank ⋮ Rational solutions of certain matrix equations ⋮ On matrices which have signed null-spaces ⋮ Aztec diamonds and digraphs, and Hankel determinants of Schröder numbers ⋮ The determinantal regions of complex sign pattern matrices and ray pattern matrices ⋮ Ray solvable linear systems and ray \(S^2 NS\) matrices
This page was built for publication: