Displaying similar documents to “A Bi-CG type iterative method for Drazin-inverse solution of singular inconsistent nonsymmetric linear systems of arbitrary index.”

Self-correcting iterative methods for computing 2 -inverses

Stanimirović, Predrag S. (2003)

Archivum Mathematicum

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In this paper we construct a few iterative processes for computing { 2 } -inverses of a linear bounded operator. These algorithms are extensions of the corresponding algorithms introduced in [11] and a method from [8]. A few error estimates are derived.

Two-step Ulm-Chebyshev-like method for inverse singular value problems with multiple singular values

Wei Ma, Yuqing Zhu, Yawei Dang (2025)

Applications of Mathematics

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We study the convergence of two-step Ulm-Chebyshev-like method for solving the inverse singular value problems. We focus on the case when the given singular values are positive and multiple. This work extends the result of W. Ma (2022). We show that the new method is cubically convergent. Moreover, numerical experiments are given in the last section, which show that the proposed method is practical and efficient.

Numerical Treatment of a Time Dependent Inverse Problem in Photon Transport

Sandra Pieraccini, Riccardo Riganti, Aldo Belleni-Morante (2007)

Bollettino dell'Unione Matematica Italiana

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The time-dependent intensity of a UV -photon source, located inside an interstellar cloud, is determined by formulating and solving an inverse problem for the integro-differential transport equation of photons in a one-dimensional slab. Starting from a discretizazion of the direct problem, an iterative procedure is used to compute the values of the source intensity at increasing values of time, and it is applied in some numerical simulations, whose results are presented and discussed. ...