Matrix computations (3rd ed.)
Null space and eigenspace computations with additive preprocessing
Proceedings of the 2007 international workshop on Symbolic-numeric computation
Additive preconditioning and aggregation in matrix computations
Computers & Mathematics with Applications
Schur aggregation for linear systems and determinants
Theoretical Computer Science
Additive preconditioning for matrix computations
CSR'08 Proceedings of the 3rd international conference on Computer science: theory and applications
Randomized preconditioning of the MBA algorithm
Proceedings of the 36th international symposium on Symbolic and algebraic computation
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The condition number of a matrix plays an important role in numerical matrix computations. In this paper, we investigate how much the small rank modification method can reduce the condition number of a matrix.