A continuation method for a weakly elliptic two-parameter eigenvalue problem

被引：6

作者：

Plestenjak, B ^{[1
]}

机构：

[1] Univ Ljubljana, IMFM, TCS, SI-1000 Ljubljana, Slovenia

来源：

IMA JOURNAL OF NUMERICAL ANALYSIS | 2001年 / 21卷 / 01期

关键词：

weakly elliptic; two-parameter eigenvalue problem; continuation method; homotopy bifurcation;

D O I：

10.1093/imanum/21.1.199

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We show that the continuation method can be used to solve a weakly elliptic two-parameter eigenvalue problem. We generalize the continuation method for a nonsymmetric eigenvalue problem Ax = lambdax by T. Y. Li, Z. Zeng and L. Cong (1992 SIAM J. Numer Anal. 29, 229-248) to two-parameter problems.

引用

页码：199 / 216

页数：18

共 50 条

[1] Continuation method for a right definite two-parameter eigenvalue problem
Plestenjak, B
[J]. SIAM JOURNAL ON MATRIX ANALYSIS AND APPLICATIONS, 2000, 21 (04) : 1163 - 1184
[2] ON THE SINGULAR TWO-PARAMETER EIGENVALUE PROBLEM
Muhic, Andrej
Plestenjak, Bor
[J]. ELECTRONIC JOURNAL OF LINEAR ALGEBRA, 2009, 18 : 420 - 437
[3] On linearizations of the quadratic two-parameter eigenvalue problem
Hochstenbach, Michiel E.
Muhic, Andrej
Plestenjak, Bor
[J]. LINEAR ALGEBRA AND ITS APPLICATIONS, 2012, 436 (08) : 2725 - 2743
[4] On the singular two-parameter eigenvalue problem II
Kosir, Tomaz
Plestenjak, Bor
[J]. LINEAR ALGEBRA AND ITS APPLICATIONS, 2022, 649 : 433 - 451
[5] THE NUMERIC RANGE OF THE TWO-PARAMETER EIGENVALUE PROBLEM
Mammadov, Eldar Sh.
[J]. PROCEEDINGS OF THE 6TH INTERNATIONAL CONFERENCE ON CONTROL AND OPTIMIZATION WITH INDUSTRIAL APPLICATIONS, VOL II, 2018, : 214 - 216
[6] Jacobi-Davidson type method for the two-parameter eigenvalue problem
Hochstenbach, ME
Kosir, T
Plestenjak, B
[J]. SIAM JOURNAL ON MATRIX ANALYSIS AND APPLICATIONS, 2004, 26 (02) : 477 - 497
[7] On the quadratic two-parameter eigenvalue problem and its linearization
Muhic, Andrej
Plestenjak, Bor
[J]. LINEAR ALGEBRA AND ITS APPLICATIONS, 2010, 432 (10) : 2529 - 2542
[8] On spectral variation of two-parameter matrix eigenvalue problem
Gil, Michael
[J]. PUBLICATIONES MATHEMATICAE-DEBRECEN, 2015, 87 (3-4): : 269 - 278
[9] Variational method in nonlinear two-parameter eigenvalue problems
Shibata, T
[J]. BOLLETTINO DELLA UNIONE MATEMATICA ITALIANA, 1997, 11B (03): : 539 - 562
[10] A Jacobi-Davidson type method for a right definite two-parameter eigenvalue problem
Hochstenbach, ME
Plestenjak, B
[J]. SIAM JOURNAL ON MATRIX ANALYSIS AND APPLICATIONS, 2002, 24 (02) : 392 - 410

← 1 2 3 4 5 →