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Table 3 Optimal parameter \(\nu _{\eta }\) of Theorem 1, with \(\eta =1\) and condition numbers of matrices for the cylinder problems

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

  \(\varvec{\lambda _1} \) \(\varvec{\lambda _n} \) \(\varvec{\nu _{\eta }}\) \(\varvec{\kappa \, ({\tilde{\mathbf{A }}})^{2}}\) iter \(\varvec{\kappa }\) (M)
Prob. 1 0.06 114.4 16.7 2.00 11 \(3.9.10^5\)
Prob. 2 \(7.6.10^{-3}\) 450.2 132.4 1.99 9 \(2.8.10^7\)
Prob. 3 \(2.8.10^{-3}\) \(1.0.10^3\) 356.2 1.99 8 \(3.1.10^8\)