Rectangular and polar representations of a complex matrix

Leang S. Shieh, Jason S.H. Tsai, Norman P. Coleman

研究成果: Article同行評審

1 引文 斯高帕斯(Scopus)

摘要

This paper presents some new definitions of the real and imaginary parts and the associated amplitude and phase of a real or complex matrix. Computational methods, which utilize the properties of the matrix sign function and the principal nth root of a complex matrix, are given for finding these quantities. A geometric series method is newly developed for finding the approximant of the matrix-valued function of tan −1(X), which is the principal branch of the arc tangent of the matrix X. Several illustrative examples are presented.

原文English
頁(從 - 到)1825-1838
頁數14
期刊International Journal of Systems Science
18
發行號10
DOIs
出版狀態Published - 1987

All Science Journal Classification (ASJC) codes

  • 控制與系統工程
  • 理論電腦科學
  • 電腦科學應用

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