Shift-invert Rational Krylov method for an operator φ-function of an unbounded linear operator

被引：0

作者：

Hashimoto, Yuka ^{[1
,2
]}

Nodera, Takashi ^{[3
]}

机构：

[1] Keio Univ, Grad Sch Sci & Technol, Sch Fundamental Sci & Technol, Kohoku Ku, 3-14-1 Hiyoshi, Yokohama, Kanagawa 2238522, Japan

[2] RIKEN, Ctr Adv Intelligence Project, Chuo Ku, 1-4-1 Nihonbashi, Tokyo 1030027, Japan

[3] Keio Univ, Fac Sci & Technol, Dept Math, Kohoku Ku, 3-14-1 Hiyoshi, Yokohama, Kanagawa 2238522, Japan

来源：

JAPAN JOURNAL OF INDUSTRIAL AND APPLIED MATHEMATICS | 2019年 / 36卷 / 02期

关键词：

Krylov subspace method; Operator function; Unbounded operator; phi-function; APPROXIMATION;

D O I：

10.1007/s13160-019-00347-5

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The product of a matrix function and a vector is used to solve evolution equations numerically. Hashimoto and Nodera(ANZIAM J 58:C149-C161, 2016) proposed the Shift-invert Rational Krylov method for computing these products. However, since matrices produced by evolution equations behave like unbounded operators in infinite-dimensional spaces, an analysis with the unbounded operator is essential. In this paper, the Shift-invert Rational Krylov method is extended to be applied to unbounded operators.

引用

页码：421 / 433

页数：13

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