Estimates on the distribution of the condition number of singular matrices
From MaRDI portal
Publication:870485
DOI10.1007/s10208-005-0176-2zbMath1113.15006OpenAlexW2035653088MaRDI QIDQ870485
Carlos Beltran, Luis Miguel Pardo
Publication date: 12 March 2007
Published in: Foundations of Computational Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s10208-005-0176-2
condition numbercomplex projective spacesalgebraic projective varietiesBézout equalityIntersection Theorysingular complex matricesvolume, tubes
Integral geometry (53C65) Projective techniques in algebraic geometry (14N05) Conditioning of matrices (15A12)
Related Items
Shifted varieties and discrete neighborhoods around varieties, On the zeta Mahler measure function of the Jacobian determinant, condition numbers and the height of the generic discriminant, Computational complexity of kernel-based density-ratio estimation: a condition number analysis, An arithmetic Poisson formula for the multi-variate resultant, On the probability distribution of data at points in real complete intersection varieties, The probability that a slightly perturbed numerical analysis problem is difficult, Stochastic perturbations and smooth condition numbers, Smale’s 17th problem: Average polynomial time to compute affine and projective solutions, A promenade through correct test sequences. I: Degree of constructible sets, Bézout's inequality and density, Complexity of Bezout's theorem. VI: Geodesics in the condition (number) metric, On the probability distribution of condition numbers of complete intersection varieties and the average radius of convergence of Newton's method in the underdetermined case
Uses Software