Finite section method in a space with two norms

DOI10.1007/s00020-017-2404-8zbMath1380.15017OpenAlexW2766995667MaRDI QIDQ1686843

Mihai Putinar

Publication date: 18 December 2017

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

Full work available at URL: https://eprint.ncl.ac.uk/fulltext.aspx?url=241348/44AAC9EC-48E7-4451-8D33-8D498B738723.pdf&pub_id=241348

zbMATH Keywords

Galerkin methodweak topologyVolterra typecounting measurenest algebraKrylov subspacefinite section methodLDU decompositionBari basisfinite central truncationsfinite rank truncationsfinite sections spectraHilbert space normnumerical range boundsWiener-Hopf type

Mathematics Subject Classification ID

Norms of matrices, numerical range, applications of functional analysis to matrix theory (15A60) Spectrum, resolvent (47A10) Numerical range, numerical radius (47A12) General theory of numerical methods in complex analysis (potential theory, etc.) (65E05) Integral equations of the convolution type (Abel, Picard, Toeplitz and Wiener-Hopf type) (45E10) Volterra integral equations (45D05) Integral representations, integral operators, integral equations methods in two dimensions (31A10)

Cites Work

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• Orthogonal polynomials and perturbations on measures supported on the real line and on the unit circle. A matrix perspective
• Contributions to operator theory and its applications. The Tsuyoshi Ando Anniversary Volume
• \(C^*\)-algebras and numerical linear algebra
• Compact Jacobi matrices: From Stieltjes to Krein and \(M(a,b)\)
• Compact linear operators on functional spaces with two norms
• Spectral permanence in a space with two norms
• Restriction operators, balayage and doubly orthogonal systems of analytic functions
• Asymptotic behaviour of the Christoffel functions on the unit ball in the presence of a mass on the sphere
• The Toeplitz Matrices of an Arbitrary Laurent Polynomial.
• Quasi-diagonality and the finite section method
• Changing the Norm in Conjugate Gradient Type Algorithms
• Spectral Properties of Banded Toeplitz Matrices

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