Rational approximation of the unitary exponential

被引：0

作者：

Huhtanen, Marko ^{[1
]}

机构：

[1] Helsinki Univ Technol, Inst Math, FIN-02015 Helsinki, Finland

来源：

IMA JOURNAL OF NUMERICAL ANALYSIS | 2010年 / 30卷 / 02期

基金：

芬兰科学院;

关键词：

unitary matrix exponential; generalized Cayley transform; rational approximation; energy conservation; LIE-GROUP; MATRIX; INTEGRATORS;

D O I：

10.1093/imanum/drn068

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The exponential function maps the Lie algebra of skew-Hermitian matrices to the respective Lie group of unitary matrices. Alternatively, unitary matrices are obtained by applying the generalized Cayley transform to polynomials in skew-Hermitian matrices. For a given large skew-Hermitian matrix, the related problem of choosing the polynomial to approximate its exponential applied to a vector is studied. Optimal polynomials are found with respect to various criteria.

引用

页码：512 / 524

页数：13

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