The coninvolutory decomposition and its computation for a complex matrix  

作　　者：CHEN Xiao-shan 

机构地区：[1]School of Mathematics, South China Normal University

出　　处：《Applied Mathematics(A Journal of Chinese Universities)》2013年第3期303-310,共8页高校应用数学学报（英文版）（B辑）

基　　金：Supported by the Natural Science Foundation of Guangdong Province(91510631000021,s2012010009985);Research Fund for the Doctoral Program of Higher Education of China(20104407110001);the National Natural Science Foundation of China(11271144,10971075,and 11101164)

摘　　要：A complex, square matrix E is called coninvolutory if EE = I, where E denotes complex conjugate of the matrix E and I is an identity matrix. In this paper we introduce the coninvolutory decomposition of a complex matrix and investigate a Newton iteration for computing the coninvolutory factor. A simple numerical example illustrates our results.A complex, square matrix E is called coninvolutory if EE = I, where E denotes complex conjugate of the matrix E and I is an identity matrix. In this paper we introduce the coninvolutory decomposition of a complex matrix and investigate a Newton iteration for computing the coninvolutory factor. A simple numerical example illustrates our results.

关 键 词：coninvolutory decomposition Newton iteration spectral norm. 

分 类 号：O151.21[理学—数学] TN247[理学—基础数学]