计算矩阵的n次根和矩阵扇形函数

Proceedings of the 40th IEEE Conference on Decision and Control (Cat. No.01CH37228) Pub Date : 2001-12-04 DOI:10.1109/CDC.2001.980812

M. Hasan, A. Hasan, Khaled B. Ejaz

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引用次数: 5

摘要

给出了计算给定实矩阵或复矩阵的n次根的几种线性和高阶方法。这些方法包括类牛顿方法、子空间方法和Krylov类型方法。作为一种特殊情况，计算了矩阵扇区函数和单位矩阵的其他根，并证明了这是计算给定矩阵的块特征分解的有效数值工具。

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Computation of matrix nth roots and the matrix sector function

Several linear and higher order methods to compute nth roots of a given real or complex matrix are presented. These include Newton-like, subspace, and Krylov type methods. As a special case, the matrix sector function and other roots of an identity matrix are computed and shown to be an efficient numerical tool for computing a block eigen-decompsition of a given matrix.

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Proceedings of the 40th IEEE Conference on Decision and Control (Cat. No.01CH37228)

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