On the convergence of cyclic Jacobi-like processes (Q1089730)
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scientific article; zbMATH DE number 4005448
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On the convergence of cyclic Jacobi-like processes |
scientific article; zbMATH DE number 4005448 |
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On the convergence of cyclic Jacobi-like processes (English)
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1986
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A complex column- and row-cyclic Jacobi-like process of the form \(A^{(k+1)}=U^*_ k,A^{(k)}V_ k+F^{(k)}\), \(k\geq 1\), where \(U_ k\), \(V_ k\) are unitary matrices and \(F^{(k)}\) is a sequence converging to diagonal form, is studied. \(A^{(1)}\) is an arbitrary \(n\times n\) matrix. Necessary and sufficient conditions for the convergence are given. Equivalence classes of cyclic pivot strategies are defined.
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cyclic Jacobi-like process
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convergence
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cyclic pivot strategies
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