M. T. Chu and G. Golub. Structured inverse eigenvalue problems. Acta Numerica, page to appear, 2002. Home/Search Document Details and Download
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....The first problem is an inverse eigenproblem: Problem I. Given X = x 1 ; x 2 ; xm ] in C and = diag( 1 ; m ) in C a centrosymmetric or centroskew matrix A in R such that AX = X . There are many applications of inverse eigenproblems, see for instance the expository paper [2] where it contains algorithms for different structured matrices. The second problem we consider is the problem of best approximation: Problem II. Let L be the solution set of Problem I. Given a matrix B 2 R A 2 L kB Gamma A k = min A2L kB Gamma Ak; where k Delta k is the ....
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