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 solu...

abstract introduction: due to the increasing number of breast masses and a more precise attention to them, a greater number of patients refer to clinics for biopsy or resection of breast and axillary lymph nodes. an appropriate anesthesia method can decrease hospitalization time, its expenditure and postoperative complications. paravertebral anesthesia [1] is a simple and feasible method in mos...

One of the numerical methods for solving linear Volterra integral equations is block-by-block method, which is explained in [L.M. Delves, J.L. Mohamed, Computational Methods for Integral Equations, Cambridge University Press, 1985; L.M. Delves, J. Walsh, Numerical Solution of Integral Equations, Oxford University Press, 1974] and [P.K. Kyte, P. Puri, Computational Methods for Linear Integral Eq...