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An Ulm-like Cayley Transform Method for Inverse Eigenvalue Problems with Multiple Eigenvalues.

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First Author : Shen, Weiping

Date of Publication : 2016-01-01

Journal : Numerical Mathematics: Theory, Methods & Applications

Affiliation of Author(s) : 数理与信息工程学院

Document Type : 期刊

Volume : Vol.9

Issue : No.4

Page Number : 664-685

ISSN : 1004-8979

Key Words : 65F10;65F15;65F18;inverse;eigenvalue;problem;Nonlinear;equation;Ulm-like;method

Abstract : We study the convergence of an Ulm-like Cayley transform method for solving inverse eigenvalue problems which avoids solving approximate Jacobian equations. Under the nonsingularity assumption of the relative generalized Jacobian matrices at the solution,

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