diagonal decomposition

  • 51Kernel (matrix) — In linear algebra, the kernel or null space (also nullspace) of a matrix A is the set of all vectors x for which Ax = 0. The kernel of a matrix with n columns is a linear subspace of n dimensional Euclidean space.[1] The dimension… …

    Wikipedia

  • 52Congruence (general relativity) — In general relativity, a congruence (more properly, a congruence of curves) is the set of integral curves of a (nowhere vanishing) vector field in a four dimensional Lorentzian manifold which is interpreted physically as a model of spacetime.… …

    Wikipedia

  • 53Split-complex number — A portion of the split complex number plane showing subsets with modulus zero (red), one (blue), and minus one (green). In abstract algebra, the split complex numbers (or hyperbolic numbers) are a two dimensional commutative algebra over the real …

    Wikipedia

  • 54Moore-Penrose pseudoinverse — In mathematics, and in particular linear algebra, the pseudoinverse A^+ of an m imes n matrix A is a generalization of the inverse matrix.cite book | last=Ben Israel | first = Adi | coauthors=Thomas N.E. Greville | title=Generalized Inverses |… …

    Wikipedia

  • 55Finite strain theory — Continuum mechanics …

    Wikipedia

  • 56List of linear algebra topics — This is a list of linear algebra topics. See also list of matrices glossary of tensor theory. Contents 1 Linear equations 2 Matrices 3 Matrix decompositions 4 …

    Wikipedia

  • 57Tikhonov regularization — Tikhonov regularization, named for Andrey Tikhonov, is the most commonly used method of regularization of ill posed problems. In statistics, the method is known as ridge regression, and, with multiple independent discoveries, it is also variously …

    Wikipedia

  • 58Matrice diagonalisable — Exemple de matrice diagonalisable sur le corps des complexes mais pas sur celui des réels, son polynôme caractéristique étant X2 + 1. En mathématiques, une matrice diagonalisable est une matrice carrée semblable à une matrice diagonale. Cette p …

    Wikipédia en Français

  • 59Trace (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 …

    Wikipedia

  • 60Unipotent — In mathematics, a unipotent element r of a ring R is one such that r − 1 is a nilpotent element, in other words such that some power ( r − 1) n is zero.In particular a square matrix M is a unipotent matrix if and only if its characteristic… …

    Wikipedia