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- W4313342979 abstract "An improved version of derivative-free nonlinear least squares iterative solver developed earlier by the author is described. First, we apply a regularization technique to stabilize the evaluation of search directions similar to the one used in the Levenberg-Marquardt methods. Second, we propose several modified designs for the rectangular preconditioning matrix, in particular a sparse adaptive techniques avoiding the use of pseudorandom sequences. The resulting algorithm is based on easily parallelizable computational kernels such as dense matrix factorizations and elementary vector operations thus having a potential for an efficient implementation on modern high-performance computers. Numerical results are presented for several standard test problems as well as for some special complex-valued cases to demonstrate the effectiveness of the proposed improvements to method." @default.
- W4313342979 created "2023-01-06" @default.
- W4313342979 creator A5075272796 @default.
- W4313342979 date "2022-01-01" @default.
- W4313342979 modified "2023-10-10" @default.
- W4313342979 title "A Derivative-Free Nonlinear Least Squares Solver" @default.
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- W4313342979 doi "https://doi.org/10.1007/978-3-031-22990-9_1" @default.
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