Exponential estimates are proved for the error of computing a finite set of extreme eigenvalues and corresponding eigenvectors of a bounded operator by means of the Arnoldi method. An analogous estimate for computation of an operator function is given. Numerical examples are presented.
机构:
China Univ Min & Technol, Sch Math, Xuzhou 221116, Jiangsu, Peoples R ChinaChina Univ Min & Technol, Sch Math, Xuzhou 221116, Jiangsu, Peoples R China
Feng, Bo
Wu, Gang
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机构:
China Univ Min & Technol, Sch Math, Xuzhou 221116, Jiangsu, Peoples R ChinaChina Univ Min & Technol, Sch Math, Xuzhou 221116, Jiangsu, Peoples R China