Newton-like iteration based on a cubic polynomial for structured matrices. (English) Zbl 1068.65050

Matrices with a low displacement rank are considered. A new Newton-like iteration for computing the Moore-Penrose generalized inverses of such matrices is presented, which is based on a cubic polynomial. Numerical experiments for Toeplitz-like and Cauchy-like matrices show its efficiency and enigmatic effect of the improvement of approximation by compression in the case of structured input.


65F20 Numerical solutions to overdetermined systems, pseudoinverses
65F10 Iterative numerical methods for linear systems
Full Text: DOI


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