Semiiterative methods for linear equations

D. van Ban; K. Moszyński; A. Pokrzywa

Mathematica Applicanda (1992)

  • Volume: 21, Issue: 35
  • ISSN: 1730-2668

Abstract

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The authors consider the numerical solution of Ax=f, where A is a bounded invertible linear operator in a complex Banach space, (i) using only premultiplication of vectors by A and (ii) forming linear combinations of known vectors. Essentially, this involves the approximation of A^(−1) by polynomials in A. Several methods of computing this approximation are investigated.

How to cite

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D. van Ban, K. Moszyński, and A. Pokrzywa. "Semiiterative methods for linear equations." Mathematica Applicanda 21.35 (1992): null. <http://eudml.org/doc/292593>.

@article{D1992,
abstract = {The authors consider the numerical solution of Ax=f, where A is a bounded invertible linear operator in a complex Banach space, (i) using only premultiplication of vectors by A and (ii) forming linear combinations of known vectors. Essentially, this involves the approximation of A^(−1) by polynomials in A. Several methods of computing this approximation are investigated.},
author = {D. van Ban, K. Moszyński, A. Pokrzywa},
journal = {Mathematica Applicanda},
keywords = {Equations with linear operators},
language = {eng},
number = {35},
pages = {null},
title = {Semiiterative methods for linear equations},
url = {http://eudml.org/doc/292593},
volume = {21},
year = {1992},
}

TY - JOUR
AU - D. van Ban
AU - K. Moszyński
AU - A. Pokrzywa
TI - Semiiterative methods for linear equations
JO - Mathematica Applicanda
PY - 1992
VL - 21
IS - 35
SP - null
AB - The authors consider the numerical solution of Ax=f, where A is a bounded invertible linear operator in a complex Banach space, (i) using only premultiplication of vectors by A and (ii) forming linear combinations of known vectors. Essentially, this involves the approximation of A^(−1) by polynomials in A. Several methods of computing this approximation are investigated.
LA - eng
KW - Equations with linear operators
UR - http://eudml.org/doc/292593
ER -

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