The Formulation And Analysis of Numerical Methods for Inverse Eigenvalue Problem
The Formulation And Analysis of Numerical Methods for Inverse Eigenvalue Problem
S Friedland
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23) where \\F\\ 0, e > such that, for ajiy orthogona. } matrix Q with \\E\\ = \\[Ei E2]\\ (||i;'||). Following the same reasoning as in the proof of Theorem 3. 1 we see that (3. 25) holds, and its diagonal equations give A* = Jc'+ 6 + 0(||Xf), (3. 31) where J = J^''^ and b = h" . The new iterate c of Method II is denned by y = Jc + h, and thus J[c-c') = 0(ilX||-). 39 By the nonsingularity assumption on J \\c-c'\\=0[\\E\\% From (3. 24) ||£'^°^||
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