A residual recurrence for Halley's method for the matrix \(p\)th root (Q967508)
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scientific article; zbMATH DE number 5702832
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | A residual recurrence for Halley's method for the matrix \(p\)th root |
scientific article; zbMATH DE number 5702832 |
Statements
A residual recurrence for Halley's method for the matrix \(p\)th root (English)
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29 April 2010
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The author proves a residual relation for Halley's method for finding the principal \(p\)th root of a matrix. This result provides a simple proof for the convergence of Halley's method, under additional assumptions on the eigenvalues of the matrix.
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residual relation
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Leibniz formula
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coefficients
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Halley's method
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\(p\)th root of a matrix
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convergence
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