SIAM Journal on Scientific and Statistical Computing
Improved bounds for matroid partition and intersection algorithms
SIAM Journal on Computing
Accurate solutions of ill-posed problems in control theory
SIAM Journal on Matrix Analysis and Applications
On the Smith normal form of structured polynomial matrices
SIAM Journal on Matrix Analysis and Applications
ACM Transactions on Mathematical Software (TOMS)
ACM Transactions on Mathematical Software (TOMS)
On the Smith normal form of structured polynomial matrices, II
SIAM Journal on Matrix Analysis and Applications
Efficient theoretic and practical algorithms for linear matroid intersection problems
Journal of Computer and System Sciences
Valuated Matroid Intersection I: Optimality Criteria
SIAM Journal on Discrete Mathematics
Valuated Matroid Intersection II: Algorithms
SIAM Journal on Discrete Mathematics
On the Degree of Mixed Polynomial Matrices
SIAM Journal on Matrix Analysis and Applications
Differential-Algebraic Systems: Analytical Aspects and Circuit Applications
Differential-Algebraic Systems: Analytical Aspects and Circuit Applications
Algebraic Algorithms for Matching and Matroid Problems
SIAM Journal on Computing
Matrices and Matroids for Systems Analysis
Matrices and Matroids for Systems Analysis
Computing the maximum degree of minors in mixed polynomial matrices via combinatorial relaxation
IPCO'11 Proceedings of the 15th international conference on Integer programming and combinatoral optimization
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A mixed matrix pencil is a matrix pencil with two kinds of nonzero coefficients: fixed constants that account for conservation laws and independent parameters that represent physical characteristics. In this paper, the indices of nilpotency of the Kronecker canonical form for a mixed matrix pencil are characterized in terms of matroids. As a byproduct, this provides an algorithm for computing the rank of a power product of a square mixed matrix.