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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