Vandermonde and resultant matrices: An abstract approach
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Publication:5903573
DOI10.1007/BF01692064zbMath0638.15012OpenAlexW1992274590MaRDI QIDQ5903573
Leiba Rodman, J. William Helton
Publication date: 1987
Published in: Mathematical Systems Theory (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/bf01692064
matrix polynomialsVandermonde matricescommon divisorscommon multiplesrational matrix functionsresultant matrices
Determinants, permanents, traces, other special matrix functions (15A15) Matrices over special rings (quaternions, finite fields, etc.) (15B33) Matrices over function rings in one or more variables (15A54)
Cites Work
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- A general theory of Vandermonde matrices
- Resultant operators for analytic functions in a simple-connected domain
- Minimal factorization of meromorphic matrix functions in terms of local data
- Local inverse spectral problems for rational matrix functions
- Algebraic system theory: An analyst's point of view
- Global inverse spectral problems for rational matrix functions
- Feedback system design: The fractional representation approach to analysis and synthesis
- A study of (A, B) invariant subspaces via polynomial models
- Simulation of linear systems and factorization of matrix polynomials†