to factorize
41Symbolic Cholesky decomposition — In the mathematical subfield of numerical analysis the symbolic Cholesky decomposition is an algorithm used to determine the non zero pattern for the L factors of a symmetric sparse matrix when applying the Cholesky decomposition or… …
42Dixon's factorization method — In number theory, Dixon s factorization method (also Dixon s random squares method[1] or Dixon s algorithm) is a general purpose integer factorization algorithm; it is the prototypical factor base method, and the only factor base method for which …
43Vladimir Drinfel'd — Born February 4, 1954 (1954 02 04) (age 57) Kharkiv, Ukrainian SSR, Soviet Union (currently in Ukraine) Nationality …
44Construction of splitting fields — In mathematics, a splitting field of a polynomial with coefficients in a field is an extension of that field over which the polynomial factors into linear factors. The purpose of this article is to describe an iterative process for constructing… …
45Non-negative matrix factorization — NMF redirects here. For the bridge convention, see new minor forcing. Non negative matrix factorization (NMF) is a group of algorithms in multivariate analysis and linear algebra where a matrix, , is factorized into (usually) two matrices, and… …
46Zero-product property — In the mathematical areas of algebra and analysis, the zero product property, also known as the zero product rule , is an abstract and explicit statement of the familiar property from elementary mathematics that if the product of two real numbers …
47Quasi-bialgebra — In mathematics, quasi bialgebras are a generalization of bialgebras, which were defined by the Ukrainian mathematician Vladimir Drinfeld in 1990.A quasi bialgebra mathcal{B A} = (mathcal{A}, Delta, varepsilon, Phi) is an algebra mathcal{A} over a …
48Quasi-Hopf algebra — A quasi Hopf algebra is a generalization of a Hopf algebra, which was defined by the Russian mathematician Vladimir Drinfeld in 1989.A quasi Hopf algebra is a quasi bialgebra mathcal{B A} = (mathcal{A}, Delta, varepsilon, Phi)for which there… …
49Random permutation statistics — The statistics of random permutations, such as the cycle structure of a random permutation are of fundamental importance in the analysis of algorithms, especially of sorting algorithms, which operate on random permutations. Suppose, for example,… …
50Semidefinite programming — (SDP) is a subfield of convex optimization concerned with the optimization of a linear objective function over the intersection of the cone of positive semidefinite matrices with an affine space.Semidefinite programming is a relatively new field… …
