condition number in a sentence

Examples

1. The Schur complement, however, has condition number only of the order 1 / " h ".
2. However, the condition number does not give the exact value of the maximum inaccuracy that may occur in the algorithm.
3. For example, the 2-norm condition number of the matrix above is about 4.8 ?10 5.
4. However the downside of forming the normal equations is that the condition number ? ( "'A "'
5. An algorithm is " forward stable " if its forward error divided by the condition number of the problem is small.
6. The condition number of the mostly used functions are as follows; these can be used to compute significant figures for all elementary functions:
7. P of a matrix A is a matrix such that P ^ {-1 } A has a smaller condition number than A.
8. On the other hand, for random inputs with nonzero mean the condition number asymptotes to a finite constant as n \ to \ infty.
9. For very high condition numbers, even very small errors due to rounding can be magnified to such an extent that the result is meaningless.
10. Essentially, the condition number represents the " intrinsic " sensitivity of the summation problem to errors, regardless of how it is computed.