WITHDRAWN: Levenberg–Marquardt methods with strong local convergence properties for solving nonlinear equations with convex constraints |
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Institution: | 1. Institute of Applied Mathematics and Statistics, University of Würzburg, Am Hubland, 97074 Würzburg, Germany;2. Department of Applied Mathematics and Physics, Graduate School of Informatics, Kyoto University, Kyoto 606-8501, Japan |
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Abstract: | This paper considers the problem of constructing a Jacobi matrix from prescribed ordered defective eigenpairs and the leading principal submatrix. According to the relationship between the eigenvalue ordered and the number of variations in signs of the corresponding eigenvector, the necessary and sufficient conditions for the solvability of the problem are derived, and the numerical algorithm is developed. Numerical examples show that the algorithm is quite efficient. |
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