# On solving linear algebraic equations with an ill-conditioned matrix

Applicationes Mathematicae (1995)

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

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top## How to cite

topMoszyński, 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

top- [1] G. G. Lorentz, Bernstein Polynomials, University of Toronto Press, 1953.
- [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] 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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