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Computing Integral Points In Convex Semi-algebraic Sets

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English
Genre (authority = RULIB-FS)
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Genre (authority = marcgt)
technical report
PhysicalDescription
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application/pdf
Extent
16 p.
Note (type = special display note)
Technical report DCS-TR-325
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School of Arts and Sciences (SAS) (New Brunswick)
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Computer Science (New Brunswick)
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Text
TitleInfo
Title
Computing Integral Points In Convex Semi-algebraic Sets
Abstract (type = abstract)
Let Y be a convex set in IR^k defined by polynomial inequalities and equations of degree at most d>=2 with integer coefficients of binary length l. We show that if Y(intersection)Z^k != 0, then Y contains an integral point of binary length ld^0(k^4). For fixed k, our bound implies a polynomial-time algorithm for computing an integral point y E Y . In particular, we extend Lenstra's theorem on the polynomial-time solvability of linear integer programming in fixed dimension to semidefinite integer programming.
Name (type = personal)
NamePart (type = family)
Khachiyan
NamePart (type = given)
Leonid
Affiliation
Computer Science (New Brunswick)
Role
RoleTerm (authority = marcrt); (type = text)
author
Name (type = personal)
NamePart (type = family)
Porkolab
NamePart (type = given)
Lorant
Affiliation
Computer Science (New Brunswick)
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author
OriginInfo
DateIssued (encoding = w3cdtf); (keyDate = yes); (qualifier = approximate)
1996
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TitleInfo
Title
Computer Science (New Brunswick)
Identifier (type = local)
rucore21032500001
Location
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NjNbRU
Identifier (type = doi)
doi:10.7282/T3765JV2
Genre (authority = ExL-Esploro)
Technical Documentation
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Copyright protected
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Open
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Permission or license
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Technical

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Document
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1.4
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2018-06-06T12:27:30
DateCreated (point = start); (encoding = w3cdtf); (qualifier = exact)
2018-06-06T12:27:30
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