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- W2162633484 abstract "We study the behavior of the bordering algorithm (a form of block elimination) for solving nonsingular linear systems with coefficient matrices in the partitioned form $left( {begin{array}{*{20}c} A & B {C^ * } & D end{array} } right)$ when $dim mathcal{N}(A) geqq 1$. Systems with this structure naturally occur in path following procedures. We show that under appropriate assumptions, the algorithm, which is based on solving systems with coefficient matrix A, works as A varies along a path and goes through singular points. The required assumptions are justified for a large class of problems coming from discretizations of boundary value problems for differential equations." @default.
- W2162633484 created "2016-06-24" @default.
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- W2162633484 date "1983-12-01" @default.
- W2162633484 modified "2023-10-18" @default.
- W2162633484 title "The Bordering Algorithm and Path Following Near Singular Points of Higher Nullity" @default.
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- W2162633484 doi "https://doi.org/10.1137/0904039" @default.
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