ืื ื’ืœื™ืชืฆืจืคืชื™ืชืกืคืจื“ื™

ืกืžืœ OnWorks

csdp-theta - ืžืงื•ื•ืŸ ื‘ืขื ืŸ

ื”ืคืขืœ csdp-theta ื‘ืกืคืง ืื™ืจื•ื— ื—ื™ื ืžื™ ืฉืœ OnWorks ืขืœ ืื•ื‘ื•ื ื˜ื• ืื•ื ืœื™ื™ืŸ, ืคื“ื•ืจื” ืื•ื ืœื™ื™ืŸ, ืืžื•ืœื˜ื•ืจ ืžืงื•ื•ืŸ ืฉืœ Windows ืื• ืืžื•ืœื˜ื•ืจ ืžืงื•ื•ืŸ ืฉืœ MAC OS

ื–ื•ื”ื™ ื”ืคืงื•ื“ื” csdp-theta ืฉื ื™ืชืŸ ืœื”ืจื™ืฅ ื‘ืกืคืง ื”ืื™ืจื•ื— ื”ื—ื™ื ืžื™ ืฉืœ OnWorks ื‘ืืžืฆืขื•ืช ืื—ืช ืžืชื—ื ื•ืช ื”ืขื‘ื•ื“ื” ื”ืžืงื•ื•ื ื•ืช ื”ืžืจื•ื‘ื•ืช ืฉืœื ื•, ื›ื’ื•ืŸ Ubuntu Online, Fedora Online, ืืžื•ืœื˜ื•ืจ ืžืงื•ื•ืŸ ืฉืœ Windows ืื• ืืžื•ืœื˜ื•ืจ ืžืงื•ื•ืŸ ืฉืœ MAC OS

ืชึธื›ึฐื ึดื™ืช:

ืฉืึตื


csdp - ืคื•ืชืจ ืชื•ื›ื ื™ื•ืช ืœืžื—ืฆื” ืžื•ื’ื“ืจ

ืชึทืงืฆึดื™ืจ


csdp <ืงื•ื‘ืฅ ื‘ืขื™ื”>ืคืชืจื•ืŸ ืกื•ืคื™>ืคืชืจื•ืŸ ืจืืฉื•ื ื™>
csdp-complement <ืงืœื˜ ื’ืจืฃ>ืคืœื˜ ื’ืจืฃ>
csdp-graphtoprob <ื’ืจืฃ>ืงื•ื‘ืฅ ื‘ืขื™ื”>
csdp-randgraph <ืจืื ื“_graph>ืคื™ืœื”>n>p> [ื–ืจืข>]
csdp-theta <ื’ืจืฃ>

ืชื™ืื•ืจ


ื“ืฃ ืžื“ืจื™ืš ื–ื” ืžืชืขื“ ื‘ืงืฆืจื” ืืช csdp, csdp-complement, csdp-graphtoprob, csdp-
ืจื ื“ื’ืจืฃ ื• csdp-theta ืคืงื•ื“ื•ืช.

csdp - ืžืžืฉืง ืœืคืชืจื•ืŸ ืชื•ื›ื ื™ื•ืช ื›ืœืœื™ื•ืช ืœืžื—ืฆื” ืžื•ื’ื“ืจื•ืช
csdp-complement - ื—ืฉื‘ ืืช ื”ื”ืฉืœืžื” ืฉืœ ื’ืจืฃ ื•ืคืœื˜ ืื•ืชื• ื‘ืคื•ืจืžื˜ ื‘ืขื™ื” csdp
csdp-graphtoprob - ื”ืžืจ ื’ืจืฃ ืœืงื•ื‘ืฅ ื‘ืคื•ืจืžื˜ ื‘ืขื™ื” ืฉืœ csdp
csdp-randgraph -- ืฆื•ืจ ื’ืจืฃ ืืงืจืื™
csdp-theta - ืคื•ืชืจ ืืช ื‘ืขื™ื™ืช Lovasz thetha

ืืคืฉืจื•ื™ื•ืช


ืกื™ื›ื•ื ื”ืืคืฉืจื•ื™ื•ืช ื›ืœื•ืœ ืœื”ืœืŸ. ืœืชื™ืื•ืจ ืžืœื, ืจืื”
/usr/share/doc/coinor-csdp-doc/csdpuser.pdf.

csdp
ื‘ืขื™ื™ืช ืงืœื˜ ื‘ืคื•ืจืžื˜ SDPA ื“ืœ

ืงื•ื‘ืฅ ื‘ืขื™ื”
ื”ื•ื ืฉื ืฉืœ ืงื•ื‘ืฅ ื”ืžื›ื™ืœ ืืช ื‘ืขื™ื™ืช SDP ื‘ืคื•ืจืžื˜ SDPA ื“ืœ

ืคืชืจื•ืŸ ืกื•ืคื™
ื”ื•ื ื”ืฉื ื”ืื•ืคืฆื™ื•ื ืœื™ ืฉืœ ืงื•ื‘ืฅ ืฉื‘ื• ื™ืฉ ืœืฉืžื•ืจ ืืช ื”ืคืชืจื•ืŸ ื”ืกื•ืคื™

ืคืชืจื•ืŸ ืจืืฉื•ื ื™
ื”ื•ื ื”ืฉื ื”ืื•ืคืฆื™ื•ื ืœื™ ืฉืœ ืงื•ื‘ืฅ ืฉืžืžื ื• ื ื™ืชืŸ ืœืงื—ืช ืืช ื”ืคืชืจื•ืŸ ื”ืจืืฉื•ื ื™.

CSDP ืžื—ืคืฉ ืงื•ื‘ืฅ ื‘ืฉื param.csdp ื‘ืกืคืจื™ื™ื” ื”ื ื•ื›ื—ื™ืช. ืื ืื™ืŸ ืงื•ื‘ืฅ ื›ื–ื”
ืงื™ื™ื, ืื– ื ืขืฉื” ืฉื™ืžื•ืฉ ื‘ืขืจื›ื™ ื‘ืจื™ืจืช ืžื—ื“ืœ ืขื‘ื•ืจ ื›ืœ ื”ืคืจืžื˜ืจื™ื ืฉืœ CSDP. ืื ื™ืฉ ืคืจืžื˜ืจ
ืงื•ื‘ืฅ, ื•ืื– CSDP ืงื•ืจื ืืช ืขืจื›ื™ ื”ืคืจืžื˜ืจื™ื ืžื”ืงื•ื‘ืฅ ื”ื–ื”. ืขืจื›ื™ ื‘ืจื™ืจืช ื”ืžื—ื“ืœ ืฉืœ ื”ืคืจืžื˜ืจื™ื
ื ื™ืชืŸ ืœื”ืœืŸ (ื ื™ืชืŸ ืœื”ื“ื‘ื™ืง ื‘ืงื•ื‘ืฅ):

axtol=1.0e-8
atytol=1.0e-8
objtol=1.0e-8
pinftol=1.0e8
dinftol=1.0e8
maxiter=100
minstepfrac=0.90
maxstepfrac=0.97
minstepp=1.0e-8
minstepd=1.0e-8
usexzgap=1
tweakgap=0
affine=0
printlevel=1
perturbobj=1
Fastmode=0

param.csdp ืคื™ืœื” ืคืจืžื˜ืจ ืชื™ืื•ืจ

ืืงืกื˜ื•ืœ atytol objtol ืกื•ื‘ืœื ื•ืช ืขื‘ื•ืจ ื”ื™ืชื›ื ื•ืช ืจืืฉื•ื ื™ืช, ื”ื™ืชื›ื ื•ืช ื›ืคื•ืœื” ื•ื™ื—ืกื™ืช
ืคืขืจ ื“ื•ืืœื™ื•ืช

ืคื™ื ืคื˜ื•ืœ
ื“ื™ื ืคื˜ื•ืœ ืกื•ื‘ืœื ื•ืช ื”ืžืฉืžืฉื•ืช ื‘ืงื‘ื™ืขืช ืื™-ื”ื™ืชื›ื ื•ืช ืจืืฉื•ื ื™ืช ื•ื›ืคื•ืœื”

ืžืงืกื™ื˜ืจ
ืœื”ื’ื‘ื™ืœ ืืช ื”ืžืกืคืจ ื”ื›ื•ืœืœ ืฉืœ ืื™ื˜ืจืฆื™ื•ืช ื‘ื”ืŸ CSDP ืขืฉื•ื™ ืœื”ืฉืชืžืฉ

minstepfrac
maxstepfrac ืœืงื‘ื•ืข ื›ืžื” ืงืจื•ื‘ ืœืงืฆื” ื”ืื–ื•ืจ ื”ืืคืฉืจื™ ื”-CSDP ืชืฆืขื“.
ืื ื”ืฆืขื“ ื”ืจืืฉื•ื ื™ ืื• ื”ื›ืคื•ืœ ืงืฆืจ ืž-minstepp ืื• minstepd, ืื– CSDP ืžืฆื”ื™ืจ
ื›ืฉืœ ื‘ื—ื™ืคื•ืฉ ืฉื•ืจื”. usexzgap ืื ืคืจืžื˜ืจ 0, ืื– CSDP ื™ืฉืชืžืฉ ื‘ื™ืขื“
ืคืขืจ ื“ื•ืืœื™ื•ืช ืคื•ื ืงืฆื™ื” ื‘ืžืงื•ื ื”ืคืขืจ tr(XZ).

tweakgap
ืื ืžื•ื’ื“ืจ ืœ-1, ื•-usexzgap ืžื•ื’ื“ืจ ืœ-0, ืื– CSDP ื™ื ืกื” "ืœืชืงืŸ" ืฉืœื™ืœื™
ืคืขืจื™ ื“ื•ืืœื™ื•ืช.

ืžืืคื™ื™ืŸ ืื ื”ืคืจืžื˜ืจ affine ืžื•ื’ื“ืจ ืœ-1, ืื–ื™ CSDP ื™ื ืงื•ื˜ ืจืง ืฆืขื“ื™ื ืจืืฉื•ื ื™ื™ื-ื“ื•ืืœื™ื™ื
ื•ืœื ืœืขืฉื•ืช ืฉื™ืžื•ืฉ ื‘ืžื•ื ื— ื”ืžื—ืกื•ื. ื–ื” ื™ื›ื•ืœ ืœื”ื™ื•ืช ืฉื™ืžื•ืฉื™ ืขื‘ื•ืจ ื›ืžื” ื‘ืขื™ื•ืช ืฉื›ืŸ
ืื™ืŸ ืคืชืจื•ื ื•ืช ืืคืฉืจื™ื™ื ื›ื™ ื”ื ืืš ื•ืจืง ื‘ื—ืœืง ื”ืคื ื™ืžื™ ืฉืœ ื”ื—ืจื•ื˜ ืฉืœ
ืžื˜ืจื™ืฆื•ืช ื—ืฆื™ ืžื•ื’ื“ืจื•ืช. ืจืžืช ื”ื“ืคืกื” ืงื•ื‘ืข ื›ืžื” ืžื™ื“ืข ืขืœ ื ื™ืคื•ื™ ื‘ืื’ื™ื
ืชึฐืคื•ึผืงึธื”. ื”ืฉืชืžืฉ ื‘-printlevel=0 ืœืœื ืคืœื˜ ื•-printlevel=1 ืขื‘ื•ืจ ืคืœื˜ ืจื’ื™ืœ. ื’ื‘ื•ื” ื™ื•ืชืจ
ืขืจื›ื™ ืจืžืช ื”ื”ื“ืคืกื” ื™ืคื™ืงื• ืคืœื˜ ื ื™ืคื•ื™ ื ื•ืกืฃ.

perturbobj
ืงื•ื‘ืข ืื ื”ืคื•ื ืงืฆื™ื” ื”ืื•ื‘ื™ื™ืงื˜ื™ื‘ื™ืช ืชื•ืคืจืข ื›ื“ื™ ืœืขื–ื•ืจ ืœื”ืชืžื•ื“ื“ ืื™ืชื”
ื‘ืขื™ื•ืช ืฉื™ืฉ ืœื”ืŸ ืžืขืจื›ื™ ืคืชืจื•ื ื•ืช ืื•ืคื˜ื™ืžืœื™ื™ื ื‘ืœืชื™ ืžื•ื’ื‘ืœื™ื. ืื per-turbobj ื”ื•ื 0, ืื– ื”-
ื”ืžื˜ืจื” ืœื ืชื•ืคืจืข. ืื perturbobj=1, ืื– ืคื•ื ืงืฆื™ื™ืช ื”ืžื˜ืจื” ืชื”ื™ื”
ืœื”ื™ื•ืช ืžื•ื˜ืจื“ ืžื›ืžื•ืช ื‘ืจื™ืจืช ื”ืžื—ื“ืœ. ืขืจื›ื™ื ื’ื“ื•ืœื™ื ื™ื•ืชืจ ืฉืœ perturbobj (ืœืžืฉืœ 100.0) ืขื•ืœื™ื
ื’ื•ื“ืœ ื”ื”ืคืจืขื”. ื–ื” ื™ื›ื•ืœ ืœื”ื™ื•ืช ืžื•ืขื™ืœ ื‘ืคืชืจื•ืŸ ื›ืžื” ืงืฉื™ื
ื‘ืขื™ื•ืช.

ืžืฆื‘ ืžื”ื™ืจ
ืงื•ื‘ืข ืื CSDP ื™ื“ืœื’ ืขืœ ืคืขื•ืœื•ืช ืžืกื•ื™ืžื•ืช ืฉื’ื•ื–ืœื•ืช ื–ืžืŸ
ืœืฉืคืจ ืžืขื˜ ืืช ื”ื“ื™ื•ืง ืฉืœ ื”ืคืชืจื•ื ื•ืช. ืื ืžืฆื‘ ืžื”ื™ืจ ืžื•ื’ื“ืจ ืœ-1, ืื– CSDP
ื™ื›ื•ืœ ืœื”ื™ื•ืช ืงืฆืช ื™ื•ืชืจ ืžื”ื™ืจ, ืื‘ืœ ื’ื ืงืฆืช ืคื—ื•ืช ืžื“ื•ื™ืง.

ื”ืฉืชืžืฉ ื‘-csdp-theta ื‘ืื™ื ื˜ืจื ื˜ ื‘ืืžืฆืขื•ืช ืฉื™ืจื•ืชื™ onworks.net


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