Optimal Approximation Problem of Quasi-antireflexive Matrices under the Spectral Restriction

Wei Ping · Journal of Dongguan University of Technology · 2011

In this paper,the inverse eigenvalue problem of Quasi-antireflexive matrices and relevant optimal approximation problem are considered.Some necessary and sufficient conditions of the solvability for the inverse eigenvalue problem are given.A general representation of the solution is presented for solvable case.Furthermore,for any given complex matrix of dimension,an expression of solution for its optimal approximation is presented.

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