APPLICATION OF FRAMES IN PRECONDITIONING AN OPERATOR EQUATION AND APPROXIMATED SOLUTIONS

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Jamali Hassan

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Seminar Paper

Paper Information

Seminar: ANNUAL IRANIAN MATHEMATICS CONFERENCE
Year:2013 | Issue:44

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Title

APPLICATION OF FRAMES IN PRECONDITIONING AN OPERATOR EQUATION AND APPROXIMATED SOLUTIONS

Author(s)

Jamali Hassan | Issue Writer Certificate

Keywords

HILBERT SPACE

FRAME

GALERKIN METHOD

RICHARDSON METHOD

Abstract

WE FIND AN EXACT SOLUTION ASSOCIATED TO A FRAME FOR AN OPERATOR EQUATION LU=F WHERE L: H® H IS A BOUNDED AND SELF ADJOINT OPERATOR ON A SEPARABLE HILBERT SPACE H. WE USE FRAMES IN ORDER TO PRECONDITION THE LINEAR EQUATION SO THAT CONVERGENCE OF ITERATIVE METHODS IS IMPROVED. THEN WE SEEK AN APPROXIMATED SOLUTION IN A FINITE DIMENSIONAL SUBSPACE OF H THAT IS GENERATED BY A FINITE FRAME SEQUENCE.

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APA: Copy

Jamali, Hassan. (2013). APPLICATION OF FRAMES IN PRECONDITIONING AN OPERATOR EQUATION AND APPROXIMATED SOLUTIONS. ANNUAL IRANIAN MATHEMATICS CONFERENCE. SID. https://sid.ir/paper/923716/en

Vancouver: Copy

Jamali Hassan. APPLICATION OF FRAMES IN PRECONDITIONING AN OPERATOR EQUATION AND APPROXIMATED SOLUTIONS. 2013. Available from: https://sid.ir/paper/923716/en

IEEE: Copy

Hassan Jamali, “APPLICATION OF FRAMES IN PRECONDITIONING AN OPERATOR EQUATION AND APPROXIMATED SOLUTIONS,” presented at the ANNUAL IRANIAN MATHEMATICS CONFERENCE. 2013, [Online]. Available: https://sid.ir/paper/923716/en

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