The Formulation And Analysis of Numerical Methods for Inverse Eigenvalue Problem

Cover 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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