11. More generally, condition numbers can be defined for non-linear functions in several variables. 12. Multicollinearity can be detected from condition number or the variance inflation factor, among other tests. 13. This demonstrates the effect of the Tikhonov parameter on the condition number of the regularized problem. 14. The condition number of the stiffness matrix depends strongly on the quality of the numerical grid. 15. Numerical analysis textbooks give formulas for the condition numbers of problems and identify the backward stable algorithms. 16. Numerical experiments show that the condition number is blowing up but how would I show it analytically? 17. If the condition number is very large, then the matrix is said to be ill-conditioned. 18. No algorithm can ever produce more accurate results than indicated by the condition number , except by chance. 19. Second, passing to the Schur complement reduces condition number and thus tends to decrease the number of iterations. 20. Given a condition number , the relative error of compensated summation is effectively independent of " n ".
