The Lanczos algorithm and complex Gauss quadrature
type: Item
instance of: scholarly article
title: The Lanczos algorithm and complex Gauss quadrature
author: Stefano Pozza
author: Miroslav S. Pranić
author: Zdeněk Strakoš
publication date: 2018-10-26T00:00:00Z
full work available at URL: http://etna.mcs.kent.edu/volumes/2011-2020/vol50/abstract.php
Mathematics Subject Classification ID: 65D15
Mathematics Subject Classification ID: 65D32
Mathematics Subject Classification ID: 65F10
Mathematics Subject Classification ID: 47B36
zbMATH DE Number: 6965964
zbMATH Keywords: quasi-definite linear functionals
zbMATH Keywords: Gauss quadrature
zbMATH Keywords: formal orthogonal polynomials
zbMATH Keywords: complex Jacobi matrices
zbMATH Keywords: matching moments
zbMATH Keywords: Lanczos algorithm
describes a project that uses: blgaussexp
describes a project that uses: mftoolbox
MaRDI profile type: Publication
OpenAlex ID: W2897523047
cites work: The diagonal of the Padé table and the approximation of the Weyl function of second-order difference operators
cites work: Padé-type approximation and general orthogonal polynomials
cites work: A breakdown-free Lanczos type algorithm for solving linear systems
cites work: Linear algebra, rational approximation and orthogonal polynomials
cites work: Q4170993
cites work: A generalized nonsymmetric Lanczos procedure
cites work: Q3742612
cites work: An explicit formula for Lanczos polynomials
cites work: Polynômes orthogonaux formels - applications
cites work: Block Gauss and Anti-Gauss Quadrature with Application to Networks
cites work: An Implementation of the Look-Ahead Lanczos Algorithm for Non-Hermitian Matrices
cites work: A look-ahead algorithm for the solution of general Hankel systems
cites work: Q3938409
cites work: Q4820343
cites work: Q5851422
cites work: Q4917542
cites work: Matrix interpretations and applications of the continued fraction algorithm
cites work: On the partial realization problem
cites work: A note on preconditioners and scalar products in Krylov subspace methods for self-adjoint problems in Hilbert space
cites work: Estimation of uTƒ(A)v for large‐scale unsymmetric matrices
cites work: A Completed Theory of the Unsymmetric Lanczos Process and Related Algorithms, Part I
cites work: A Completed Theory of the Unsymmetric Lanczos Process and Related Algorithms. Part II
cites work: Q4913712
cites work: Functions of Matrices
cites work: On certain methods for expanding the characteristic polynomial
cites work: Q3859649
cites work: Matrices related to interpolatory quadratures
cites work: Q4649579
cites work: Continued fractions with applications
cites work: Preconditioning and the Conjugate Gradient Method in the Context of Solving PDEs
cites work: On the ``Favard theorem'' and its extensions
cites work: Complex Jacobi matrices and quadrature rules
cites work: Reduction to Tridiagonal Form and Minimal Realizations
cites work: A Look-Ahead Lanczos Algorithm for Unsymmetric Matrices
cites work: Matrix interpretation of formal orthogonal polynomials for non-definite functionals
cites work: Gauss quadrature for quasi-definite linear functionals
cites work: Beiträge zur Kenntnis des Biorthogonalisierungs-Algorithmus von Lanczos
cites work: Q4414854
cites work: Model reduction using the Vorobyev moment problem
cites work: Q5777281
cites work: Q5593500
Wikidata QID: Q129038630
DOI: 10.1553/ETNA_VOL50S1
published in: ETNA - Electronic Transactions on Numerical Analysis
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description: scientific article; zbMATH DE number 6965964