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Table 2 Norms and 2-norm condition numbers of matrices for Problems 1–3, and 1-norm condition number of Problem 4 of Cylinder examples

From: Application of an iterative Golub-Kahan algorithm to structural mechanics problems with multi-point constraints

 

\(\varvec{\nu = ||\mathbf{W} ||_1}\)

\(\varvec{\kappa }\) (M)

\(\varvec{\kappa }\) (W)

\(||\mathbf{A} ||_\mathbf{1 }\)

Prob. 1

9.13

\({ 2.2.10^5}\)

\({1.9.10^3}\)

6.27

Prob. 2

8.95

\({1.9.10^6}\)

\({5.6.10^3}\)

5.79

Prob. 3

8.85

\({7.9.10^6}\)

\({1.1.10^4}\)

5.74

Prob. 4

8.96

\({5.0.10^8}\)

\({1.2.10^5}\)

5.34