On iterative methods for the quadratic matrix equation with \(M\)-matrix (Q426347)
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scientific article; zbMATH DE number 6045157
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On iterative methods for the quadratic matrix equation with \(M\)-matrix |
scientific article; zbMATH DE number 6045157 |
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On iterative methods for the quadratic matrix equation with \(M\)-matrix (English)
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11 June 2012
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The authors consider a kind of quadratic matrix equations (QME) arising from an overdamped vibrating system.Under the assumed \(M\)-matrix structure for the coefficient matrices the authors show that Newton's method and Bernoulli's method with an initial zero matrix converge nonincreasingly to the primary solvent of the QME.
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quadratic matrix equation
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\(M\)-matrix
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Newton's method
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primary solvent
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convergence
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Bernoulli's method
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0.9216596
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0.9173327
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0.9033803
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0.9021604
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0.90196544
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