Mathematical Sciences: Faculty Presentations (1991-2022)

Subproper and Regular Splittings for a Restricted Rectangular System

Document Type

Presentation

Presentation Date

3-21-2003

Copyright

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Abstract or Description

Let Ax = b be a rectricted rectangular and consistent linear system, where A is an m by n matrix and x is in a subspace T of C^n. The concept of subproper splitting A=M-N introduced by Neumann is generalized. A necessary and sufficient condition on the subproper splitting such that the iterative sequence converges to a solution of Ax = b is given. Monotonicity and the concept of regular subproper splitting are used to study convergence. Numerical examples are given to verify our conclusions.

Sponsorship/Conference/Institution

Joint Meeting of the Southeastern Section of the Mathematical Association of America (MAA-SE) and Southeastern Atlantic Section of the Society for Industrial and Applied Mathematics (SIAM-SEAS)

Location

Clemson, SC

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