Eigenvalues and condition numbers of random matrices
SIAM Journal on Matrix Analysis and Applications
Stochastic perturbation theory
SIAM Review
Complexity of Bezout's theorem IV: probability of success; extensions
SIAM Journal on Numerical Analysis
Complexity and real computation
Complexity and real computation
Accuracy and Stability of Numerical Algorithms
Accuracy and Stability of Numerical Algorithms
Journal of Complexity
Estimates on the Distribution of the Condition Number of Singular Matrices
Foundations of Computational Mathematics
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In this paper we define a new condition number adapted to directionally uniform perturbations in a general framework of maps between Riemannian manifolds. The definitions and theorems can be applied to a large class of problems. We show the relation with the classical condition number and study some interesting examples.