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- W2073254680 abstract "We consider the problem of minimizing the spectral condition number of a positive definite matrix by completion: $$minleft{ {rm cond}left(mat{cc} A & B^{rm H} B & X rixright): mat{cc} A & B^{rm H} B & X rix mbox {rm positive definite} right},$$ noindent where $A$ is an $ntimes n$ Hermitian positive definite matrix, $B$ a $ptimes n$ matrix and $X$ is a free $ptimes p$ Hermitian matrix. We reduce this problem to an optimization problem for a convex function in one variable. Using the minimal solution of this problem we characterize the complete set of matrices that give the minimum condition number." @default.
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- W2073254680 title "Minimizing the condition number of a positive definite matrix by completion" @default.
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