A structure-preserving doubling algorithm for solving a class of quadratic matrix equation with M-matrix
Consider the problem of finding the maximal nonpositive solvent $ \varPhi $ of the quadratic matrix equation (QME) $ X^2 + BX + C = 0 $ with $ B $ being a nonsingular $ M $-matrix and $ C $ an $ M $-matrix such that $ B^{-1}C\ge 0 $. Such QME arises from an overdamped vibrating system. Recently, und...
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| Format: | Article |
| Language: | English |
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AIMS Press
2022-02-01
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| Series: | Electronic Research Archive |
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| Online Access: | https://www.aimspress.com/article/doi/10.3934/era.2022030?viewType=HTML |