Separation of roots of matrix and operator polynomials

DOI10.1007/BF01191479zbMath0896.47008MaRDI QIDQ1378106

Yuri I. Lyubich

Publication date: 5 February 1998

Published in: Integral Equations and Operator Theory (Search for Journal in Brave)

zbMATH Keywords

operator polynomialminimal distance between the roots

Mathematics Subject Classification ID

Functions whose values are linear operators (operator- and matrix-valued functions, etc., including analytic and meromorphic ones) (47A56)

Related Items (3)

Birkhoff-James \(\varepsilon\)-orthogonality sets of vectors and vector-valued polynomials ⋮ On the Numerical Range of Rational Matrix Functions ⋮ Joint zero sets and ranges of several Hermitian forms over complex and quaternionic scalars

Cites Work

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• An introduction to operator polynomials
• Connectivity of level sets of quadratic forms and Hausdorff-Toeplitz type theorems
• Über eine Klasse polynomialer Scharen selbstadjungierter Operatoren im Hilbertraum
• Numerical Range of Matrix Polynomials
• Some results on numerical ranges and factorizations of matrix polynomials
• ALGEBRAIC EQUATIONS WITH CONTINUOUS COEFFICIENTS AND SOME PROBLEMS OF THE ALGEBRAIC THEORY OF BRAIDS

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