lower triangular matrix
41Burnside ring — In mathematics, the Burnside ring of a finite group is an algebraic construction that encodes the different ways the group can act on finite sets. The ideas were introduced by William Burnside at the end of the nineteenth Century, but the… …
42Gauss–Seidel method — The Gauss–Seidel method is a technique used to solve a linear system of equations. The method is named after the German mathematicians Carl Friedrich Gauss and Philipp Ludwig von Seidel. The method is an improved version of the Jacobi method. It… …
43Singular value decomposition — Visualization of the SVD of a 2 dimensional, real shearing matrix M. First, we see the unit disc in blue together with the two canonical unit vectors. We then see the action of M, which distorts the disk to an ellipse. The SVD decomposes M into… …
44Footwork (martial arts) — Footwork is a martial arts and combat sports term for the general usage of the legs and feet in stand up fighting. Footwork involves keeping balance, closing or furthering the distance, and/or creating additional momentum for strikes.Basic… …
45Trace (linear algebra) — In linear algebra, the trace of an n by n square matrix A is defined to be the sum of the elements on the main diagonal (the diagonal from the upper left to the lower right) of A, i.e., where aii represents the entry on the ith row and ith column …
46Schur complement — In linear algebra and the theory of matrices,the Schur complement of a block of a matrix within alarger matrix is defined as follows.Suppose A , B , C , D are respectively p times; p , p times; q , q times; p and q times; q matrices, and D is… …
47Computational complexity of mathematical operations — The following tables list the running time of various algorithms for common mathematical operations. Here, complexity refers to the time complexity of performing computations on a multitape Turing machine.[1] See big O notation for an explanation …
48Successive over-relaxation — (SOR) is a numerical method used to speed up convergence of the Gauss–Seidel method for solving a linear system of equations. A similar method can be used for any slowly converging iterative process. It was devised simultaneously by David M.… …
49Condition number — In the field of numerical analysis, the condition number of a function with respect to an argument measures the asymptotically worst case of how much the function can change in proportion to small changes in the argument. The function is the… …
50Flag (linear algebra) — In mathematics, particularly in linear algebra, a flag is an increasing sequence of subspaces of a vector space V . Here increasing means each is a proper subspace of the next (see filtration)::{0} = V 0 sub V 1 sub V 2 sub cdots sub V k = V.If… …
