The local evaluation of the derivative of a determinant (Q1076480)
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scientific article; zbMATH DE number 3954168
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | The local evaluation of the derivative of a determinant |
scientific article; zbMATH DE number 3954168 |
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The local evaluation of the derivative of a determinant (English)
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1986
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The nonlinear lambda matrix problem is studied. When computing eigenvalues (points for which the matrix is singular), it is suggested that a Newton method finding the zeros of the determinant is used. It is described how to find values of the derivative of the determinant by means of diagonalization of the constant term in a Taylor series expansion of the \(\lambda\) matrix.
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nonlinear lambda matrix problem
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eigenvalues
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Newton method
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Taylor series expansion
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