Table 5 Residuals for the solutions returned by CDCS with \(\epsilon _{\text {tol}} = 10^{-3}\) and the maximum number of iterations fixed to 2000
From: Chordal decomposition in operator-splitting methods for sparse semidefinite programs
CDCS-primal | CDCS-dual | CDCS-hsde | ||||||
|---|---|---|---|---|---|---|---|---|
\(\epsilon _{\mathrm {c}}\) | \(\epsilon _\alpha \) | \(\epsilon _{\mathrm {c}}\) | \(\epsilon _{\mathrm {d}}\) | \(\epsilon _\alpha \) | \(\epsilon _{\mathrm {p}}\) | \(\epsilon _{\mathrm {d}}\) | \(\epsilon _{\mathrm {c}}\) | |
maxG11 | 9.97e−4 | 2.72e−4 | 1.34e−4 | 2.48e−4 | 2.84e−4 | 5.52e−4 | 3.46e−4 | 9.98e−4 |
maxG32 | 9.96e−4 | 2.22e−4 | 4.75e−4 | 11.1e−4 | 1.78e−4 | 2.74e−4 | 2.68e−4 | 9.97e−4 |
qpG11 | 3.70e−4 | 3.62e−4 | 9.94e−4 | 20.0e−4 | 2.76e−4 | 9.66e−4 | 3.60e−4 | 8.40e−4 |
qpG51 | 9.34e−4 | 0.54e−4 | 9.91e−4 | 4.02e−4 | 0.15e−4 | 13.3e−4 | 31.3e−4 | 2.10e−4 |
rs35 | 9.99e−4 | 7.05e−4 | 6.41e−4 | 9.36e−4 | 0.01e−4 | 0.31e−4 | 13.6e−4 | 9.99e−4 |
rs200 | 9.92e−4 | 6.73e−4 | 1.48e−4 | 2.47e−4 | 2.74e−4 | 9.37e−4 | 9.95e−4 | 9.71e−4 |
rs228 | 9.97e−4 | 5.92e−4 | 2.14e−4 | 2.71e−4 | 1.75e−4 | 8.82e−4 | 9.83e−4 | 9.86e−4 |
rs365 | 9.98e−4 | 2.98e−4 | 4.61e−4 | 9.99e−4 | 0.36e−4 | 2.50e−4 | 9.99e−4 | 9.97e−4 |
rs1555 | 2.21e−4 | 1.55e−4 | 9.97e−4 | 19.6e−4 | 0.98e−4 | 11.0e−4 | 1.89e−4 | 9.99e−4 |
rs1907 | 9.98e−4 | 3.27e−4 | 6.24e−4 | 12.0e−4 | 0.23e−4 | 3.78e−4 | 9.96e−4 | 9.90e−4 |