Linearizations, realization, and scalar products for regular matrix polynomials

DOI10.1016/S0024-3795(97)00301-7zbMath0897.15009MaRDI QIDQ1379105

Peter Lancaster, Ilya Krupnik

Publication date: 19 October 1998

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

zbMATH Keywords

Hermitian matriceslinearizationsrealizationscalar productsmatrix pencilself-adjointregular matrix polynomials

Mathematics Subject Classification ID

Matrices over function rings in one or more variables (15A54) Matrix pencils (15A22)

Related Items (1)

Matrix pencils with the numerical range equal to the whole complex plane

Cites Work

• Matrices and indefinite scalar products
• Inertia characteristics of self-adjoint matrix polynomials
• General theory of regular matrix polynomials and band Toeplitz operators
• On self-adjoint matrix polynomials with constant signature
• Minimal Pencil Realizations of Rational Matrix Functions with Symmetries
• H-Selfadjoint and H-Unitary Matrix Pencils
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