# Bounds of modulus of eigenvalues based on Stein equation

Kybernetika (2010)

- Volume: 46, Issue: 4, page 655-664
- ISSN: 0023-5954

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topHu, Guang-Da, and Zhu, Qiao. "Bounds of modulus of eigenvalues based on Stein equation." Kybernetika 46.4 (2010): 655-664. <http://eudml.org/doc/196356>.

@article{Hu2010,

abstract = {This paper is concerned with bounds of eigenvalues of a complex matrix. Both lower and upper bounds of modulus of eigenvalues are given by the Stein equation. Furthermore, two sequences are presented which converge to the minimal and the maximal modulus of eigenvalues, respectively. We have to point out that the two sequences are not recommendable for practical use for finding the minimal and the maximal modulus of eigenvalues.},

author = {Hu, Guang-Da, Zhu, Qiao},

journal = {Kybernetika},

keywords = {eigenvalues; lower and upper bounds; Stein equation; eigenvalues; lower and upper bounds; Stein equation},

language = {eng},

number = {4},

pages = {655-664},

publisher = {Institute of Information Theory and Automation AS CR},

title = {Bounds of modulus of eigenvalues based on Stein equation},

url = {http://eudml.org/doc/196356},

volume = {46},

year = {2010},

}

TY - JOUR

AU - Hu, Guang-Da

AU - Zhu, Qiao

TI - Bounds of modulus of eigenvalues based on Stein equation

JO - Kybernetika

PY - 2010

PB - Institute of Information Theory and Automation AS CR

VL - 46

IS - 4

SP - 655

EP - 664

AB - This paper is concerned with bounds of eigenvalues of a complex matrix. Both lower and upper bounds of modulus of eigenvalues are given by the Stein equation. Furthermore, two sequences are presented which converge to the minimal and the maximal modulus of eigenvalues, respectively. We have to point out that the two sequences are not recommendable for practical use for finding the minimal and the maximal modulus of eigenvalues.

LA - eng

KW - eigenvalues; lower and upper bounds; Stein equation; eigenvalues; lower and upper bounds; Stein equation

UR - http://eudml.org/doc/196356

ER -

## References

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