In mathematics, a bidiagonal matrix is a banded matrix with non-zero entries along the main diagonal and either the diagonal above or the diagonal below...

diagonal entries of a matrix. Anti-diagonal matrix Banded matrix Bidiagonal matrix Diagonally dominant matrix Diagonalizable matrix Jordan normal form Multiplication...

a matrix ⁠ M {\displaystyle \mathbf {M} } ⁠ is typically computed by a two-step procedure. In the first step, the matrix is reduced to a bidiagonal matrix...

matrices used in mathematics, science and engineering. A matrix (plural matrices, or less commonly matrixes) is a rectangular array of numbers called entries...

value decomposition. It also includes routines to implement the associated matrix factorizations such as LU, QR, Cholesky and Schur decomposition. LAPACK...

In linear algebra, a tridiagonal matrix is a band matrix that has nonzero elements only on the main diagonal, the subdiagonal/lower diagonal (the first...

Hessenberg matrix at MathWorld. Hessenberg matrix at PlanetMath. High performance algorithms for reduction to condensed (Hessenberg, tridiagonal, bidiagonal) form...

analysis: Sparse matrix Band matrix Bidiagonal matrix Tridiagonal matrix Pentadiagonal matrix Skyline matrix Circulant matrix Triangular matrix Diagonally dominant...

matrix decompositions such that U* A V = B, where U and V are unitary (orthogonal) matrices; * denotes Hermitian transpose; and B is upper bidiagonal...

Golub-Kahan-Reinsch algorithm starts with reducing a general matrix into a bidiagonal one. This variant of the QR algorithm for the computation of singular...

libraries with significant linear algebra coverage. Matrix types (special types like bidiagonal/tridiagonal are not listed): Real – general (nonsymmetric)...