Computation of the smallest positive eigenvalue of a quadratic \(\lambda\)- matrix (Q1122308)
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scientific article; zbMATH DE number 4106129
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Computation of the smallest positive eigenvalue of a quadratic \(\lambda\)- matrix |
scientific article; zbMATH DE number 4106129 |
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Computation of the smallest positive eigenvalue of a quadratic \(\lambda\)- matrix (English)
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1990
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The computation of the smallest positive eigenvalue \(\mu^*\) of a quadratic \(\lambda\)-matrix is used to determine the stability of structure. In addition to existence results we derive two efficient and reliable methods to calculate \(\mu^*\). Both methods are based on shift techniques which are discussed thouroughly which respect to convergence.
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lambda matrix
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nonlinear eigenvalue problem
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smallest positive eigenvalue
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stability of structures
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shift techniques
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convergence
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