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
收藏
页码：421 / 433
页数：13
相关论文
共 50 条
12345