Matches in DBpedia 2014 for { <http://dbpedia.org/resource/Computing_the_permanent> ?p ?o. }
Showing items 1 to 37 of
37
with 100 items per page.
- Computing_the_permanent abstract "In mathematics, the computation of the permanent of a matrix is a problem that is known to be more difficult than the computation of the determinant of a matrix despite the apparent similarity of the definitions.The permanent is defined similarly to the determinant, as a sum of products of sets of matrix entries that lie in distinct rows and columns. However, where the determinant weights each of these products with a ±1 sign based on the parity of the set, the permanent weights them all with a + 1 sign.While the determinant can be computed in polynomial time by Gaussian elimination, the permanent cannot. In computational complexity theory, a theorem of Valiant states that computing permanents, even of matrices in which all entries are 0 or 1, is #P-complete Valiant (1979) putting the computation of the permanent in a class of problems believed to be even more difficult to compute than NP. It is known that computing the permanent is impossible for logspace-uniform ACC0 circuits (Allender & Gore 1994).The development of both exact and approximate algorithms for computing the permanent of a matrix is an active area of research.".
- Computing_the_permanent wikiPageExternalLink caa9448ac7c4e895fd7845515c7a68d1.
- Computing_the_permanent wikiPageID "20749642".
- Computing_the_permanent wikiPageRevisionID "600186841".
- Computing_the_permanent authorlink "H. J. Ryser".
- Computing_the_permanent first "H. J.".
- Computing_the_permanent hasPhotoCollection Computing_the_permanent.
- Computing_the_permanent last "Ryser".
- Computing_the_permanent year "1963".
- Computing_the_permanent subject Category:Computational_complexity_theory.
- Computing_the_permanent subject Category:Computational_problems.
- Computing_the_permanent subject Category:Linear_algebra.
- Computing_the_permanent subject Category:Matrix_theory.
- Computing_the_permanent subject Category:Permutations.
- Computing_the_permanent type Abstraction100002137.
- Computing_the_permanent type Attribute100024264.
- Computing_the_permanent type Change107296428.
- Computing_the_permanent type ComputationalProblems.
- Computing_the_permanent type Condition113920835.
- Computing_the_permanent type Difficulty114408086.
- Computing_the_permanent type Event100029378.
- Computing_the_permanent type Happening107283608.
- Computing_the_permanent type Permutations.
- Computing_the_permanent type Problem114410605.
- Computing_the_permanent type PsychologicalFeature100023100.
- Computing_the_permanent type State100024720.
- Computing_the_permanent type Substitution107443761.
- Computing_the_permanent type Variation107337390.
- Computing_the_permanent type YagoPermanentlyLocatedEntity.
- Computing_the_permanent comment "In mathematics, the computation of the permanent of a matrix is a problem that is known to be more difficult than the computation of the determinant of a matrix despite the apparent similarity of the definitions.The permanent is defined similarly to the determinant, as a sum of products of sets of matrix entries that lie in distinct rows and columns.".
- Computing_the_permanent label "Computing the permanent".
- Computing_the_permanent sameAs m.053dtm5.
- Computing_the_permanent sameAs Q5157642.
- Computing_the_permanent sameAs Q5157642.
- Computing_the_permanent sameAs Computing_the_permanent.
- Computing_the_permanent wasDerivedFrom Computing_the_permanent?oldid=600186841.
- Computing_the_permanent isPrimaryTopicOf Computing_the_permanent.