Runge-Kutta type methods based on geodesics for systems of odes on the Stiefel manifold

被引：18

作者：

Del Buono, N ^{[1
]}

Lopez, L ^{[1
]}

机构：

[1] Univ Bari, Dipartimento Interuniv Matemat, I-70125 Bari, Italy

来源：

BIT NUMERICAL MATHEMATICS | 2001年 / 41卷 / 05期

关键词：

Stiefel manifold; geodesics; parallel transport; Runge-Kutta schemes;

D O I：

10.1023/A:1021924825224

中图分类号：

TP31 [计算机软件];

学科分类号：

081202 ; 0835 ;

摘要：

In this paper we propose numerical methods for solving ODEs on the Stiefel manifold based on the use of the embedded geodesics. Numerical tests are also provided in order to show the features of our methods.

引用

页码：912 / 923

页数：12

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