• Numerical linear algebra, sometimes called applied linear algebra, is the study of how matrix operations can be used to create computer algorithms which...
    20 KB (2,766 words) - 12:28, 27 March 2025
  • Basic Linear Algebra Subprograms (BLAS) is a specification that prescribes a set of low-level routines for performing common linear algebra operations...
    36 KB (3,917 words) - 09:17, 27 May 2025
  • Thumbnail for Linear algebra
    Linear algebra is the branch of mathematics concerning linear equations such as a 1 x 1 + ⋯ + a n x n = b , {\displaystyle a_{1}x_{1}+\cdots +a_{n}x_{n}=b...
    67 KB (7,974 words) - 09:17, 16 May 2025
  • Thumbnail for Kernel (linear algebra)
    Bau, David III (1997), Numerical Linear Algebra, SIAM, ISBN 978-0-89871-361-9. Wikibooks has a book on the topic of: Linear Algebra/Null Spaces "Kernel of...
    24 KB (3,724 words) - 14:30, 6 May 2025
  • Thumbnail for System of linear equations
    of numerical linear algebra, and play a prominent role in engineering, physics, chemistry, computer science, and economics. A system of non-linear equations...
    36 KB (5,636 words) - 00:10, 4 February 2025
  • provide a comparison of linear algebra software libraries, either specialized or general purpose libraries with significant linear algebra coverage. Matrix types...
    10 KB (331 words) - 11:55, 18 March 2025
  • ALGLIB is an open source / commercial numerical analysis library with C++ version Armadillo is a C++ linear algebra library (matrix and vector maths), aiming...
    24 KB (2,794 words) - 08:11, 25 May 2025
  • Thumbnail for LAPACK
    LAPACK ("Linear Algebra Package") is a standard software library for numerical linear algebra. It provides routines for solving systems of linear equations...
    14 KB (1,105 words) - 15:49, 13 March 2025
  • numerical linear algebra, and another is algorithms for solving ordinary and partial differential equations by discrete approximation. In numerical linear...
    12 KB (1,553 words) - 19:15, 21 April 2025
  • In linear algebra, an orthogonal matrix, or orthonormal matrix, is a real square matrix whose columns and rows are orthonormal vectors. One way to express...
    36 KB (4,802 words) - 21:06, 14 April 2025
  • Thumbnail for Numerical analysis
    mechanics (predicting the motions of planets, stars and galaxies), numerical linear algebra in data analysis, and stochastic differential equations and Markov...
    39 KB (3,919 words) - 15:17, 22 April 2025
  • JAMA is a software library for performing numerical linear algebra tasks created at National Institute of Standards and Technology in 1998 similar in functionality...
    3 KB (245 words) - 13:34, 10 March 2024
  • Moore–Penrose inverse (category Numerical linear algebra)
    In mathematics, and in particular linear algebra, the Moore–Penrose inverse ⁠ A + {\displaystyle A^{+}} ⁠ of a matrix ⁠ A {\displaystyle A} ⁠, often called...
    47 KB (7,644 words) - 15:51, 13 April 2025
  • involving π Numerical linear algebra — study of numerical algorithms for linear algebra problems Types of matrices appearing in numerical analysis: Sparse...
    70 KB (8,335 words) - 20:20, 17 April 2025
  • In linear algebra, the rank of a matrix A is the dimension of the vector space generated (or spanned) by its columns. This corresponds to the maximal number...
    29 KB (4,416 words) - 23:46, 28 March 2025
  • Incomplete LU factorization (category Numerical linear algebra)
    In numerical linear algebra, an incomplete LU factorization (abbreviated as ILU) of a matrix is a sparse approximation of the LU factorization often used...
    5 KB (872 words) - 19:00, 2 January 2025
  • Arnoldi iteration (category Numerical linear algebra)
    In numerical linear algebra, the Arnoldi iteration is an eigenvalue algorithm and an important example of an iterative method. Arnoldi finds an approximation...
    13 KB (1,842 words) - 09:21, 30 May 2024
  • LU decomposition (category Numerical linear algebra)
    In numerical analysis and linear algebra, lower–upper (LU) decomposition or factorization factors a matrix as the product of a lower triangular matrix...
    54 KB (8,617 words) - 01:38, 24 May 2025
  • Inverse iteration (category Numerical linear algebra)
    und Mechanik 1, 28-42 (1921). Demmel, James W. (1997), Applied Numerical Linear Algebra, Philadelphia, PA: Society for Industrial and Applied Mathematics...
    12 KB (2,055 words) - 04:26, 30 November 2023
  • Thumbnail for Alan Edelman
    Association for Computing Machinery (ACM), for his contributions in numerical linear algebra, computational science, parallel computing, and random matrix theory...
    8 KB (763 words) - 07:37, 13 September 2024
  • Thumbnail for Symmetric matrix
    In linear algebra, a symmetric matrix is a square matrix that is equal to its transpose. Formally, A  is symmetric ⟺ A = A T . {\displaystyle A{\text{...
    17 KB (2,812 words) - 21:08, 14 April 2025
  • Numerical methods for linear least squares entails the numerical analysis of linear least squares problems. A general approach to the least squares problem...
    10 KB (1,526 words) - 14:55, 1 December 2024
  • functional analysis, a branch of mathematics, an operator algebra is an algebra of continuous linear operators on a topological vector space, with the multiplication...
    5 KB (545 words) - 13:58, 27 September 2024
  • Thumbnail for MATLAB
    MATLAB (category Numerical linear algebra)
    MATLAB's initial linear algebra programming in 1967 with his one-time thesis advisor, George Forsythe. This was followed by Fortran code for linear equations...
    40 KB (3,033 words) - 13:24, 23 May 2025
  • Rayleigh quotient iteration (category Numerical linear algebra)
    David Bau, III, Numerical Linear Algebra, Society for Industrial and Applied Mathematics, 1997. ISBN 0-89871-361-7. Rainer Kress, "Numerical Analysis", Springer...
    5 KB (816 words) - 15:33, 18 February 2025
  • Triangular matrix (category Numerical linear algebra)
    matrix Tridiagonal matrix Invariant subspace Axler, Sheldon Jay (1997). Linear Algebra Done Right (2nd ed.). New York: Springer. pp. 86–87, 169. ISBN 0-387-22595-1...
    21 KB (3,152 words) - 21:09, 14 April 2025
  • Thumbnail for Gaussian elimination
    Gaussian elimination (category Numerical linear algebra)
    Lipschutz, Seymour (2001), Schaum's outline of theory and problems of linear algebra, New York: McGraw-Hill, pp. 69–80, ISBN 978-0-07-136200-9 Press, WH;...
    33 KB (4,369 words) - 01:17, 19 May 2025
  • Thumbnail for Lis (linear algebra library)
    matrix storage formats Basic linear algebra operations for dense and sparse matrices Parallel iterative methods for linear equations and eigenvalue problems...
    9 KB (665 words) - 23:06, 29 December 2024
  • Basis function (category Numerical linear algebra)
    nx)\mid n\in \mathbb {N} \}\cup \{1\}} forms a basis for L2[0,1]. Basis (linear algebra) (Hamel basis) Schauder basis (in a Banach space) Dual basis Biorthogonal...
    3 KB (336 words) - 02:35, 22 July 2022
  • QR algorithm (category Numerical linear algebra)
    In numerical linear algebra, the QR algorithm or QR iteration is an eigenvalue algorithm: that is, a procedure to calculate the eigenvalues and eigenvectors...
    27 KB (4,226 words) - 04:59, 24 April 2025