Two problems involving Schur functions

DOI10.1016/0024-3795(75)90007-5zbMath0304.15001OpenAlexW2018327853MaRDI QIDQ1216661

Russell Merris

Publication date: 1975

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

Full work available at URL: https://doi.org/10.1016/0024-3795(75)90007-5

Mathematics Subject Classification ID

Determinants, permanents, traces, other special matrix functions (15A15) Ordinary representations and characters (20C15) Eigenvalues, singular values, and eigenvectors (15A18) Hermitian, skew-Hermitian, and related matrices (15B57)

Related Items (14)

On the greatest distance between two permanental roots of a matrix ⋮ The Second Immanantal Polynomial and the Centroid of a Graph ⋮ Equality of decomposable symmetrized tensors and *-matrix groups ⋮ Applications of multlinear algebra ⋮ A conjecture involving generalized matrix functions ⋮ Permanental polynomials of graphs ⋮ Constructing graphs which are permanental cospectral and adjacency cospectral ⋮ Applications of spherical functions in multilinear algebra ⋮ On the permanental nullity and matching number of graphs ⋮ The existence of matrices with prescribed characteristic and permanental polynomials ⋮ On the pseudocharacteristic polynomial of K. Bogart and J. Gordon † ⋮ Extensions of the Hadamard determinant theorem ⋮ Matrices with prescribed submatrices ⋮ Laplacian matrices of graphs: A survey

Cites Work

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• Inequalities for the permanent function
• An explicit isomorphism with applications to inequalities for matrix functions
• Eigenschaften der Permanentefunktion
• A conjecture and some problems on permanents
• A class of counterexamples on permanents
• Counterexamples to a conjecture of G. N. de Oliveira
• On projections in the symmetric power space
• Matrices with prescribed off-diagonal elements
• Counterexamples to conjectures of Ryser and de Oliveira
• Equality of Decomposable Symmetrized Tensors
• PROOF OF A PERMANENTAL INEQUALITY
• Generalized Matrix Functions
• Localization of the Zeros of the Permanent of a Characteristic Matrix
• Monotonicity of Positive Semidefinite Hermitian Matrices
• On the Multiplicative Inverse Eigenvalue Problem

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