The generalized matrix sector function and the separation of matrix eigenvalues

Leangs S. Shieh, Jasons H. Tsai, Robert E. Yates

研究成果: Article同行評審

4 引文 斯高帕斯(Scopus)

摘要

The matrix sector function of A is introduced and generalized to the matrix sector function of g(A), where the complex matrix A may have a real or complex characteristic polynomial and g(A) is a matrix function of a conformal mapping. The generalized matrix sector function of A is employed to separate the matrix eigenvalues relative to a sector, a circle, and a sector of a circle in the complex plane without actually seeking the characteristic polynomial and the matrix eigenvalues relative to a sector, a circle, and a sector of a circle in the complex plane without actually seeking the characteristic polynomial and the matrix eigenvalues themselves. Also, the generalized matrix sector function of A is utilized to carry out the block-diagonalization and block-triangularization of a system matrix, which are useful in developing applications to mathematical science and control-system problems.

原文English
頁(從 - 到)251-258
頁數8
期刊IMA Journal of Mathematical Control and Information
2
發行號3
DOIs
出版狀態Published - 1985

All Science Journal Classification (ASJC) codes

  • 控制與系統工程
  • 控制和優化
  • 應用數學

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