The study of condition numbers and perturbation analysis in least squares problems has become a cornerstone in numerical linear algebra, underpinning the reliability and accuracy of solutions to ...
For the known spectral methods (Galerkin, Tau, Collocation) the condition number behaves like $O(N^4)$ ($N$: maximal degree of polynomials). We introduce a spectral ...
In recent years, several condition numbers were defined for a variety of linear programming problems based upon relative distances to ill-posedness. In this paper, we provide a unifying view of some ...
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