bidiagonal

bidiagonal
Describing a matrix that has non-zero entries along the main diagonal and either the diagonal above or the diagonal below

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  • Bidiagonal matrix — A bidiagonal matrix is a matrix with non zero entries along the main diagonal and either the diagonal above or the diagonal below. For example, the following matrix is bidiagonal::egin{pmatrix}1 4 0 0 4 1 0 0 3 4 0 0 3 end{pmatrix}When the …   Wikipedia

  • Matriz bidiagonal — Una matriz bidiagonal es una matriz con elementos distintos de cero tan solo a lo largo de su diagonal principal y de la primera superdiagonal o de la primera subdiagonal. Solo una de estas dos últimas puede estar ocupada. Por ejemplo, la… …   Wikipedia Español

  • Singular 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… …   Wikipedia

  • Diagonal matrix — In linear algebra, a diagonal matrix is a matrix (usually a square matrix) in which the entries outside the main diagonal (↘) are all zero. The diagonal entries themselves may or may not be zero. Thus, the matrix D = (di,j) with n columns and n… …   Wikipedia

  • List of matrices — This page lists some important classes of matrices used in mathematics, science and engineering: Matrices in mathematics*(0,1) matrix a matrix with all elements either 0 or 1. Also called a binary matrix . *Adjugate matrix * Alternant matrix a… …   Wikipedia

  • List of numerical analysis topics — This is a list of numerical analysis topics, by Wikipedia page. Contents 1 General 2 Error 3 Elementary and special functions 4 Numerical linear algebra …   Wikipedia

  • Tridiagonal matrix — In linear algebra, a tridiagonal matrix is a matrix that is almost a diagonal matrix. To be exact: a tridiagonal matrix has nonzero elements only in the main diagonal, the first diagonal below this, and the first diagonal above the main… …   Wikipedia

  • List of mathematics articles (B) — NOTOC B B spline B* algebra B* search algorithm B,C,K,W system BA model Ba space Babuška Lax Milgram theorem Baby Monster group Baby step giant step Babylonian mathematics Babylonian numerals Bach tensor Bach s algorithm Bachmann–Howard ordinal… …   Wikipedia

  • Bidiagonalization — is one of unitary (orthogonal) matrix decompositions such that U* A V = B, where U and V are unitary (orthogonal) matrices; * denotes Hermitian transpose; and B is upper bidiagonal. A is allowed to be rectangular.For dense matrix, the left and… …   Wikipedia

  • Matrice tridiagonale — En mathématiques, en algèbre linéaire, une matrice tridiagonale est une matrice dont tous les coefficients qui ne sont ni sur la diagonale principale, ni sur la diagonale juste au dessus, ni sur la diagonale juste en dessous, sont nuls. Par… …   Wikipédia en Français

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