More on Convergence Theory of Proper Multisplittings

Document Type : Original Article

Authors

Chinmay Kumar Giri

Debasisha Mishra

Department of Mathematics, National Institute of Technology Raipur, Raipur 492010, Chhattisgarh, India.

10.22034/kjm.2018.60178

Abstract

In this paper, we first prove a few comparison results between two
proper weak regular splittings which are useful in getting the
iterative solution of a large class of rectangular (square singular)
linear system of equations $Ax = b$, in a faster way. We then derive
convergence and comparison results for proper weak regular
multisplittings.

Keywords

Moore-Penrose inverse

proper splitting

multisplittings

convergence theorem

comparison theorem

Subjects

• 15 Linear and multilinear algebra; matrix theory
• 65 Numerical analysis

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