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- W2075865004 abstract "We show how the zero structure of a basis of the null space of a positive semidefinite matrix can be exploited to determine a positive definite submatrix of maximal rank. We discuss consequences of this result for the solution of (constrained) linear systems and eigenvalue problems. The results are of particular interest if A and the null space basis are sparse. We furthermore execute a backward error analysis of the Cholesky factorization of positive semidefinite matrices and provide new elementwise bounds." @default.
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- W2075865004 title "On Positive Semidefinite Matrices with Known Null Space" @default.
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- W2075865004 doi "https://doi.org/10.1137/s0895479800381331" @default.
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