Linear and Riccati matrix equations (Q1120036)
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scientific article; zbMATH DE number 4099687
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Linear and Riccati matrix equations |
scientific article; zbMATH DE number 4099687 |
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Linear and Riccati matrix equations (English)
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1989
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The author proves that the matrix equation \(Y'=FY\) is solvable by quadratures, where F is an invertible, continuous \(n\times n\) matrix (elements are continuous functions of the same variable). He also proves that for any nonsingular matrices P,Q,R the equations \[ X'+XQX+XR=0,\quad X'+PX+QX+XR=0 \] are solvable by quadratures. The nonlinear triangular system \(X'=F(X)\) is solved by quadratures.
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matrix equation
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quadratures
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nonlinear triangular system
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0.8305262327194214
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0.8011060357093811
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