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BEST APPROXIMATION BY NORMAL MATRICES WITH SPECTRAL CONSTRAINTS
Authors:Dai Hua College of Science  NUAA Yudao Street  Nanjing   P.R.China
Affiliation:Dai Hua College of Science,NUAA29 Yudao Street,Nanjing 210016,P.R.China
Abstract:The problem of best approximating, a given square complex matrix in the Frobenius norm by normal matrices under a given spectral restriction is considered. The ne cessary and sufficient condition for the solvability of the problem is given. A numerical algorithm for solving the problem is provided and a numerical example is presented.
Keywords:normal matrices  best approximation  eigenvalues  inverse problems  spectral constraint
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