On the Role of Ill-conditioning: Biharmonic Eigenvalue Problem and Multigrid Algorithms
Very fine discretizations of differential operators often lead to large, sparse matrices A, where the condition number of A is large. Such ill-conditioning has well known effects on both solving linear systems and eigenvalue computations, and, in general, computing solutions with relative accuracy i...
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UKnowledge
2019
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Online Access: | https://uknowledge.uky.edu/math_etds/62 https://uknowledge.uky.edu/cgi/viewcontent.cgi?article=1063&context=math_etds |