Randomized block subsampling Kaczmarz-Motzkin method

نویسندگان

چکیده

By introducing a subsampling strategy, we propose randomized block Kaczmarz-Motzkin method for solving linear systems. Such strategy not only allows one to determine the size in advance, but also combines and extends two famous strategies, i.e., randomness greed, hence can inherit their advantages. Theoretical analysis shows that proposed converges linearly expectation least-Euclidean-norm solution. Several numerical examples are reported verify efficiency feasibility of new method.

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ژورنال

عنوان ژورنال: Linear Algebra and its Applications

سال: 2023

ISSN: ['1873-1856', '0024-3795']

DOI: https://doi.org/10.1016/j.laa.2023.03.003