Eigenvalues and condition numbers of random matrices
SIAM Journal on Matrix Analysis and Applications
The algebraic eigenvalue problem
The algebraic eigenvalue problem
Complexity of Bezout's theorem III: condition number and packing
Journal of Complexity - Festschrift for Joseph F. Traub, Part 1
Complexity of Bezout's theorem V: polynomial time
Selected papers of the workshop on Continuous algorithms and complexity
Complexity of Bezout's theorem IV: probability of success; extensions
SIAM Journal on Numerical Analysis
Complexity and real computation
Complexity and real computation
A condition number theorem for underdetermined polynomial systems
Mathematics of Computation
Some remarks on the condition number of a real random square matrix
Journal of Complexity
High probability analysis of the condition number of sparse polynomial systems
Theoretical Computer Science - Algebraic and numerical algorithm
SIAM Journal on Matrix Analysis and Applications
Condition Numbers of Gaussian Random Matrices
SIAM Journal on Matrix Analysis and Applications
Ideals, Varieties, and Algorithms: An Introduction to Computational Algebraic Geometry and Commutative Algebra, 3/e (Undergraduate Texts in Mathematics)
Estimates on the Distribution of the Condition Number of Singular Matrices
Foundations of Computational Mathematics
On the number of minima of a random polynomial
Journal of Complexity
On Smale's 17th Problem: A Probabilistic Positive Solution
Foundations of Computational Mathematics
An Arithmetic Poisson Formula for the multi-variate resultant
Journal of Complexity
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We show several estimates on the probability distribution of some data at points in real complete intersection varieties: norms of real affine solutions, condition number of real solution of real systems of multi-variate polynomial equations and convergence radius of Newton's operator for under-determined system of multi-variate polynomial equations.