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Condition number of the quasi-maximal solution to a matrix equation X+A*X-pA=I when p>0

LI Jing1,ZHANG Yu-hai2   

  1. 1. Department of Applied Mathematics, Shandong University At Weihai, Weihai 264209;2. School of Mathematics and System Sciences, Shandong University, Jinan 250100, Shandong
  • Received:1900-01-01 Revised:1900-01-01 Online:2006-10-24 Published:2006-10-24
  • Contact: LI Jing

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Abstract: Consider the nonlinear matrix equation X+A*X-pA=I(p>0), where A is n×n complex matrix and A* denotes the conjugate transpose of a matrix A.The explicit expressions of the condition number of the quasi-maximal solution were obtained.

Key words: quasi-maximal solution , condition number, matrix equation

CLC Number: 

  • O241.7
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