Optimal Approximation Problem of Quasi-Reflexive Matrices under the Spectral Restriction
Lei Xiu-ren · Hu'nan Shifan Daxue xuebao. Ziran kexue ban · 2011
The inverse eigenvalue problem of quasi-reflexive 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 n,an expression of solution for its optimal approximation is presented.