On solving linear algebraic equations with an ill-conditioned matrix

Krzysztof Moszyński

Applicationes Mathematicae (1995)

  • Volume: 22, Issue: 4, page 499-513
  • ISSN: 1233-7234

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Moszyński, Krzysztof. "On solving linear algebraic equations with an ill-conditioned matrix." Applicationes Mathematicae 22.4 (1995): 499-513. <http://eudml.org/doc/219110>.

@article{Moszyński1995,
author = {Moszyński, Krzysztof},
journal = {Applicationes Mathematicae},
keywords = {matrix decomposition; linear algebraic systems; linear ill-conditioned systems; algorithms; explicit Gram-Schmidt- process; Lanczos process},
language = {eng},
number = {4},
pages = {499-513},
title = {On solving linear algebraic equations with an ill-conditioned matrix},
url = {http://eudml.org/doc/219110},
volume = {22},
year = {1995},
}

TY - JOUR
AU - Moszyński, Krzysztof
TI - On solving linear algebraic equations with an ill-conditioned matrix
JO - Applicationes Mathematicae
PY - 1995
VL - 22
IS - 4
SP - 499
EP - 513
LA - eng
KW - matrix decomposition; linear algebraic systems; linear ill-conditioned systems; algorithms; explicit Gram-Schmidt- process; Lanczos process
UR - http://eudml.org/doc/219110
ER -

References

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  1. [1] G. G. Lorentz, Bernstein Polynomials, University of Toronto Press, 1953. 
  2. [2] V. I. Lebedev and S. A. Finogenov, On the order of choosing parameters in Chebychev cyclic iterative process, Zh. Vychisl. Mat. i Mat. Fiz. 11 (1971), 425-438 (in Russian). Zbl0221.65099
  3. [3] K. Moszyński, Bernstein polynomials and eigenvalue problems, report of KBN Grant No 211689191, Department of Mathematics, Computer Science and Mechanics, University of Warsaw, 1992. 

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