A structure-preserving curve for symplectic pairs and its applications (Q2910971)
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scientific article; zbMATH DE number 6081315
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | A structure-preserving curve for symplectic pairs and its applications |
scientific article; zbMATH DE number 6081315 |
Statements
12 September 2012
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nonlinear matrix equation
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structure-preserving curve
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symplectic pair
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fixed-point iteration
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structure-preserving doubling algorithm
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Newton's method
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Sherman-Morrison-Woodbury formula
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MATLAB
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numerical results
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A structure-preserving curve for symplectic pairs and its applications (English)
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The authors study numerical methods for the maximal solution of some nonlinear nonhomogeneous matrix equation with right side a Hermitian positive definite matrix. For this purpose, they construct a smooth curve parameterized by \(t\) not small of 1. In the theoretical section they investigate this curve. In the application section, they measure the convergence rates of those numerical methods. Numerical results using MATLAB R2010 are presented.
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