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https://hdl.handle.net/2142/81872
Description
Title
Topics in Optimization and Sparse Linear Systems
Author(s)
Joshi, Anil
Issue Date
1997
Doctoral Committee Chair(s)
Vaidya, Pravin M.
Department of Study
Computer Science
Discipline
Computer Science
Degree Granting Institution
University of Illinois at Urbana-Champaign
Degree Name
Ph.D.
Degree Level
Dissertation
Keyword(s)
Physics, Electricity and Magnetism
Language
eng
Abstract
In the second part of the thesis, we analyze the quality of a new graph-based preconditioner for large sparse Symmetric Positive Definite Diagonally Dominant (SPDDD) linear systems. These kinds of linear systems arise in the solution of scalar second order PDEs for Heat Transfer, Electrostatics, Electromagnetics, Ground Water Flow, and Diffusion (with or without reaction) when they are discretized using finite differences. They also arise in discrete problems like Network Flow Problems (Assignment, Maximum Flow, and Minimum Cost Flow), Large Resistive Networks, and Laminar Flow in Pipe Networks.
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