Common eigenvalues, divisors, and multiples of matrix polynomials: A review

Author:

Lancaster Peter

Publisher

Elsevier BV

Subject

Discrete Mathematics and Combinatorics,Geometry and Topology,Numerical Analysis,Algebra and Number Theory

Reference32 articles.

1. Generalized Bezoutian and Sylvester matrices in multivariable linear control;Anderson;IEEE Trans. Automat. Control,1976

2. A note on the bezoutian matrix;Barnett;SIAM J. Appl. Math.,1972

3. Some properties of the Bezoutian for polynomial matrices;Barnett;Linear and Multilinear Algebra,1980

4. Greatest common divisors via generalized Sylvester and Bezout matrices;Bitmead;IEEE Trans. Automat. Control,1978

5. The Bezoutian and the algebraic Riccati equation;Clancey;Linear and Multilinear Algebra,1984

Cited by 5 articles. 订阅此论文施引文献 订阅此论文施引文献,注册后可以免费订阅5篇论文的施引文献,订阅后可以查看论文全部施引文献

1. On the kernel structure of generalized resultant matrices;Indagationes Mathematicae;2012-12

2. List of Publications of Peter Lancaster;Linear Operators and Matrices;2002

3. ON COMMON UNITAL DIVISORS OF MATRIX POLYNOMIALS OVER AN ARBITRARY FIELD;Russian Academy of Sciences. Sbornik Mathematics;1994-02-28

4. Linearly recursive sequences and operator polynomials;Linear Algebra and its Applications;1993-03

5. Unobservable subspaces and common roots of several polynomials;Linear Algebra and its Applications;1987-10

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