Multi-level method in eigenvalue problem

Petr Vaněk

Applications of Mathematics (1994)

  • Volume: 39, Issue: 4, page 259-267
  • ISSN: 0862-7940

Abstract

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One method for computing the least eigenvalue of a positive definite matrix A of order n is described.

How to cite

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Vaněk, Petr. "Multi-level method in eigenvalue problem." Applications of Mathematics 39.4 (1994): 259-267. <http://eudml.org/doc/32882>.

@article{Vaněk1994,
abstract = {One method for computing the least eigenvalue of a positive definite matrix $A$ of order $n$ is described.},
author = {Vaněk, Petr},
journal = {Applications of Mathematics},
keywords = {eigenvalue problem; multi-level method; least eigenvalue; power method; multi-level method; least eigenvalue; power method; eigenvector; generalized eigenvalue problem},
language = {eng},
number = {4},
pages = {259-267},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {Multi-level method in eigenvalue problem},
url = {http://eudml.org/doc/32882},
volume = {39},
year = {1994},
}

TY - JOUR
AU - Vaněk, Petr
TI - Multi-level method in eigenvalue problem
JO - Applications of Mathematics
PY - 1994
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 39
IS - 4
SP - 259
EP - 267
AB - One method for computing the least eigenvalue of a positive definite matrix $A$ of order $n$ is described.
LA - eng
KW - eigenvalue problem; multi-level method; least eigenvalue; power method; multi-level method; least eigenvalue; power method; eigenvector; generalized eigenvalue problem
UR - http://eudml.org/doc/32882
ER -

References

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  1. Introduction to Numerical Analysis, Springer Verlag, 1980. (1980) MR0557543
  2. 10.1137/0710024, SIAM J. Numer. Anal. 10 (1973). (1973) MR0345399DOI10.1137/0710024
  3. Multigrid methods and applications, Springer Verlag, 1985. (1985) MR0814495
  4. Acceleration of algebraic multigrid method, Proceedings of the IX. Summer School SANM 91. 
  5. Modification of Two-level Algorithm with overcorrection, Appl. Math. 37 (1992), 13–28. (1992) MR1152154
  6. Acceleration of two-level algorithm by smoothing transfer operators, Appl. Math. 37 (1992), 265–274. (1992) MR1180605
  7. Acceleration of convergence of a two-level algebraic algorithm by aggregation in smoothing process, Appl. Math. 37 (1992), 243–356. (1992) MR1175929

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