TY - JOUR
T1 - An Ulm-Like Cayley Transform Method for Inverse Eigenvalue Problems with Multiple Eigenvalues
AU - Weiping Shen, Chong Li & Xiaoqing Jin
JO - Numerical Mathematics: Theory, Methods and Applications
VL - 4
SP - 664
EP - 685
PY - 2016
DA - 2016/09
SN - 9
DO - http://doi.org/10.4208/nmtma.2016.y15030
UR - https://global-sci.org/intro/article_detail/nmtma/12394.html
KW - 
AB - <p style="text-align: justify;">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, a convergence analysis covering both the distinct and multiple eigenvalues cases is provided and the quadratical convergence is proved. Moreover, numerical experiments are
given in the last section to illustrate our results.</p>