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Table 6 Residuals \(\epsilon _{\mathrm {p}}\) and \(\epsilon _{\mathrm {d}}\), defined as in (49a) and (49b), for the solutions returned by SeDuMi and SCS

From: Chordal decomposition in operator-splitting methods for sparse semidefinite programs

 

SeDuMi

SCS

\(\epsilon _{\mathrm {p}}\)

\(\epsilon _{\mathrm {d}}\)

\(\epsilon _{\mathrm {p}}\)

\(\epsilon _{\mathrm {d}}\)

maxG11

8.36e−6

5.95e−7

4.71e−6

9.98e−4

maxG32

8.45e−6

3.85e−7

2.46e−6

3.20e−3

qpG11

1.13e−5

2.90e−7

1.32e−5

2.85e−2

qpG51

4.23e−6

5.41e−7

1.15e−4

2.36e−1

rs35

4.33e−7

1.73e−10

1.41e−5

7.60e−2

rs200

5.41e−6

4.83e−9

1.55e−5

4.43e−1

rs228

3.40e−6

1.89e−9

2.09e−5

1.72e−1

rs365

***

***

2.70e−5

7.20e−1

rs1555

***

***

3.67e−6

9.22e−1

rs1907

***

***

3.29e−5

7.96e−1

  1. Both solvers were called with \(\epsilon _{\text {tol}} = 10^{-3}\), and the maximum number of iterations for SCS is 2000. Entries marked *** denote failure due to memory limitations