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IMA Journal of Numerical Analysis 2001 21(1):199-216; doi:10.1093/imanum/21.1.199
© 2001 by Institute of Mathematics and its Applications
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A continuation method for a weakly elliptic two-parameter eigenvalue problem

Bor Plestenjak1

1 IMFM/TCS, University of Ljubljana, Jadranska 19, SI-1000 Ljubljana, Slovenia

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 = {lambda}x by T. Y. Li, Z. Zeng and L. Cong (1992 SIAM J. Numer. Anal. 29, 229–248) to two-parameter problems.

Key Words: weakly elliptic, two-parameter eigenvalue problem, continuation method, homotopy bifurcation

Received 6 September 1999. Accepted 29 February 2000.


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