@Article{NMTMA-18-598, author = {Kaveh , Hojjatollah ShokriHajarian , Masoud and Chronopoulos , Anthony T.}, title = {Variable $s$-Step Technique for New Conjugate Residual Algorithms for Solving Non-Square Linear Systems Arising in Control Problems}, journal = {Numerical Mathematics: Theory, Methods and Applications}, year = {2025}, volume = {18}, number = {3}, pages = {598--618}, abstract = {
This paper introduces two algorithms based on the conjugate residual method and variable $s$-step for solving linear systems with non-square coefficient matrices. The introduced algorithms demonstrate their effectiveness through numerical comparisons with other methods, specifically CGNE and CGNR, to solve non-square linear systems. The approach aims to enhance the efficiency of solving problems related to control systems and imaging underground layers, particularly in the context of seismic tomography.
}, issn = {2079-7338}, doi = {https://doi.org/10.4208/nmtma.OA-2024-0109}, url = {http://global-sci.org/intro/article_detail/nmtma/24320.html} }