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Table 12 Condition numbers of original and BFGS preconditioned matrices

From: Newton–Raphson preconditioner for Krylov type solvers on GPU devices

 

Condition number

First

Last

original

GR_30_30

\(1.95 \times 10^2\)

\(7.81 \times 10^1\)

\(1.95 \times 10^2\)

BCSSTK14

\(7.24 \times 10^3\)

\(7.23 \times 10^3\)

\(1.19 \times 10^{10}\)

BCSSTK15

\(8.21 \times 10^4\)

\(9.23 \times 10^2\)

\(6.54 \times 10^9\)

  1. Since BFGS preconditioner varies through GCR iterations, the condition numbers at the first and the last steps are shown
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