Convergence Analysis of the Finite Section Method and Banach Algebras of Matrices

Integral Equations and Operator Theory ◽

10.1007/s00020-010-1775-x ◽

2010 ◽

Vol 67 (2) ◽

pp. 183-202 ◽

Author(s):

Karlheinz Gröchenig ◽

Ziemowit Rzeszotnik ◽

Thomas Strohmer

Keyword(s):

Convergence Analysis ◽

Banach Algebras ◽

Section Method ◽

Finite Section ◽

Finite Section Method

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Finite Section Method for Linear Ordinary Differential Equations on the Full Line

Interpolation Theory, Systems Theory and Related Topics ◽

10.1007/978-3-0348-8215-6_10 ◽

2002 ◽

pp. 209-224

Author(s):

I. Gohberg ◽

M. A. Kaashoek ◽

F. van Schagen

Keyword(s):

Differential Equations ◽

Ordinary Differential Equations ◽

Full Line ◽

Section Method ◽

Linear Ordinary Differential Equations ◽

Finite Section ◽

Finite Section Method

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On Asymptotic Behavior at Infinity and the Finite Section Method for Integral Equations on the Half-Line

Journal of Integral Equations and Applications ◽

10.1216/jiea/1181075789 ◽

1994 ◽

Vol 6 (1) ◽

pp. 37-74 ◽

Author(s):

Simon N. Chandler-Wilde

Keyword(s):

Asymptotic Behavior ◽

Integral Equations ◽

Half Line ◽

Section Method ◽

Finite Section ◽

Finite Section Method

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Finite Section Method

Springer Monographs in Mathematics - Analysis of Toeplitz Operators ◽

10.1007/3-540-32436-4_7 ◽

2006 ◽

pp. 323-407

Keyword(s):

Section Method ◽

Finite Section ◽

Finite Section Method

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Wave problems in unbounded domains: Fredholmness and the finite section method

Fluids and Waves - Contemporary Mathematics ◽

10.1090/conm/440/08479 ◽

2007 ◽

pp. 115-122

Author(s):

Simon N. Chandler-Wilde ◽

Marko Lindner

Keyword(s):

Unbounded Domains ◽

Section Method ◽

Finite Section ◽

Finite Section Method ◽

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The finite section method and stable subsequences

Applied Numerical Mathematics ◽

10.1016/j.apnum.2009.11.006 ◽

2010 ◽

Vol 60 (4) ◽

pp. 501-512 ◽

Author(s):

Marko Lindner

Keyword(s):

Section Method ◽

Finite Section ◽

Finite Section Method

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Fredholmness and finite section method for Toeplitz operators in $l^p (Z_+ \times Z_+)$ with piecewise continuous symbols II

Zeitschrift für Analysis und ihre Anwendungen ◽

10.4171/zaa/100 ◽

1984 ◽

Vol 3 (3) ◽

pp. 193-202 ◽

Author(s):

Albrecht Böttcher

Keyword(s):

Toeplitz Operators ◽

Section Method ◽

Finite Section ◽

Finite Section Method ◽

Piecewise Continuous

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Stability of the Finite Section Method

Infinite Matrices and their Finite Sections - Frontiers in Mathematics ◽

10.1007/978-3-7643-7767-0_4 ◽

2006 ◽

pp. 149-179

Keyword(s):

Section Method ◽

Finite Section ◽

Finite Section Method

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The Finite Section Method in the Space of Essentially Bounded Functions: An Approach Using Limit Operators

Numerical Functional Analysis and Optimization ◽

10.1081/nfa-120026383 ◽

2003 ◽

Vol 24 (7-8) ◽

pp. 863-893 ◽

Author(s):

Marko Lindner

Keyword(s):

Section Method ◽

Limit Operators ◽

Finite Section ◽

Finite Section Method ◽

Bounded Functions

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Finite Section Method for Difference Equations

Linear Operators and Matrices ◽

10.1007/978-3-0348-8181-4_15 ◽

2002 ◽

pp. 197-207

Author(s):

I. Gohberg ◽

M. A. Kaashoek ◽

F. van Schagen

Keyword(s):

Difference Equations ◽

Section Method ◽

Finite Section ◽

Finite Section Method

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On the stability and convergence of the finite section method for integral equation formulations of rough surface scattering

Mathematical Methods in the Applied Sciences ◽

10.1002/mma.210 ◽

2001 ◽

Vol 24 (4) ◽

pp. 209-232 ◽

Author(s):

A. Meier ◽

S. N. Chandler-Wilde

Keyword(s):

Integral Equation ◽

Rough Surface ◽

Surface Scattering ◽

Stability And Convergence ◽

Rough Surface Scattering ◽

Section Method ◽

Finite Section ◽

Finite Section Method ◽

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