On the Degree of Mixed Polynomial Matrices

DOI10.1137/S0895479896311438zbMath0956.05068MaRDI QIDQ4243501

Kazuo Murota

Publication date: 18 May 1999

Published in: SIAM Journal on Matrix Analysis and Applications (Search for Journal in Brave)

zbMATH Keywords

determinantvaluated matroidcombinatorial matrix theorydegree of determinantmixed polynomial matrix

Mathematics Subject Classification ID

Symbolic computation and algebraic computation (68W30) Combinatorial optimization (90C27) Graphs and linear algebra (matrices, eigenvalues, etc.) (05C50)

Related Items (7)

On the Kronecker Canonical Form of Singular Mixed Matrix Pencils ⋮ Computing the maximum degree of minors in mixed polynomial matrices via combinatorial relaxation ⋮ Computing the Maximum Degree of Minors in Mixed Polynomial Matrices via Combinatorial Relaxation ⋮ Legendre duality in combinatorial study of matrix pencils ⋮ Extension of M-convexity and L-convexity to polyhedral convex functions ⋮ Combinatorial relaxation algorithm for the entire sequence of the maximum degree of minors in mixed polynomial matrices ⋮ On impulsive algebraic multiplicities of linear time-invariant singular systems under feedback

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