On the non-singularity of the quasi-Newton-least squares method

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摘要

We show that, for an affine problem, the approximate Jacobian of the Quasi-Newton-Least Squares method cannot become singular before the solution has been reached.

论文关键词:65F10,690C53,90C56,Quasi-Newton method,Iterative method,Least squares,Generalized minimal residual method,Rank-one update,Secant method

论文评审过程:Received 29 March 2013, Revised 19 August 2013, Available online 29 August 2013.

论文官网地址:https://doi.org/10.1016/j.cam.2013.08.020