On condition numbers and the distance to the nearest III-posted problem

Real algebraic number computation using interval arithmetic

ISSAC '92 Papers from the international symposium on Symbolic and algebraic computation

On computing condition numbers for the nonsymmetric eigenproblem

ACM Transactions on Mathematical Software (TOMS)

Algorithm 747: a Fortran subroutine to solve the eigenvalue assignment problem for multiinput systems using state feedback

ACM Transactions on Mathematical Software (TOMS)

Efficient algorithms for computing the nearest polynomial with a real root and related problems

ISSAC '99 Proceedings of the 1999 international symposium on Symbolic and algebraic computation

Polynomial root finding using iterated Eigenvalue computation

Proceedings of the 2001 international symposium on Symbolic and algebraic computation

An iterated eigenvalue algorithm for approximating roots of univariate polynomials

Journal of Symbolic Computation - Computer algebra: Selected papers from ISSAC 2001

A method computing multiple roots of inexact polynomials

ISSAC '03 Proceedings of the 2003 international symposium on Symbolic and algebraic computation

Condition number of Bott--Duffin inverse and their condition numbers

Applied Mathematics and Computation

Cited References

Computer algebra handbook

A Condition Number for Point Matching with Application to Registration and Postregistration Error Estimation

IEEE Transactions on Pattern Analysis and Machine Intelligence

Algorithm 841: BHESS: Gaussian reduction to a similar banded Hessenberg form

ACM Transactions on Mathematical Software (TOMS)

Condition number for the Drazin inverse and the Drazin-inverse solution of singular linear system with their condition numbers

Journal of Computational and Applied Mathematics

A note on level-2 condition numbers

Journal of Complexity

Convergence of Rump's method for inverting arbitrarily ill-conditioned matrices

Journal of Computational and Applied Mathematics

On level-2 condition number for the weighted Moore-Penrose inverse

Computers & Mathematics with Applications

A note on level-2 condition numbers

Journal of Complexity

Condition number for the Drazin inverse and the Drazin-inverse solution of singular linear system with their condition numbers

Journal of Computational and Applied Mathematics

Adversarial smoothed analysis

Journal of Complexity

John von Neumann's Analysis of Gaussian Elimination and the Origins of Modern Numerical Analysis

SIAM Review

A geometric algorithm for winding number computation with complexity analysis

Journal of Complexity