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The modified Newton-Shamanskii method for the solution of a quadratic vector equation arising in Markovian binary trees - MaRDI portal

The modified Newton-Shamanskii method for the solution of a quadratic vector equation arising in Markovian binary trees (Q496510)

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scientific article; zbMATH DE number 6484023
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English
The modified Newton-Shamanskii method for the solution of a quadratic vector equation arising in Markovian binary trees
scientific article; zbMATH DE number 6484023

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    The modified Newton-Shamanskii method for the solution of a quadratic vector equation arising in Markovian binary trees (English)
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    22 September 2015
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    The authors apply the modified Newton-Shamanskii method to the vector equation arising in Markovian binary trees. Numerical experiments show that the modified Newton-Shamanskii method outperforms the Newton method.
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    Markovian binary tree
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    quadratic vector equation
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    Newton-Shamanskii method
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    minimal nonnegative solution
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    monotone convergence
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    numerical experiment
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