Geometric Inverse Eigenvalue Problem

Xiaochang C. Wang · Birkhäuser Boston eBooks · 1989

Different kinds of additive inverse eigenvalue problems have been studied by many authors [1,2,5,6,9]. Generally, the problem can be set like this: Fix a matrix A ∈ gl(n) and a set ℒ ⊂ gl(n) ; for any given n numbers {s 1 ... s n }, can we find an L ∈ ℒ such that A + L has precisely the eigenvalues {s 1 ...s n }?

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