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  2. Matrix multiplication algorithm - Wikipedia

    en.wikipedia.org/wiki/Matrix_multiplication...

    The definition of matrix multiplication is that if C = AB for an n × m matrix A and an m × p matrix B, then C is an n × p matrix with entries = =. From this, a simple algorithm can be constructed which loops over the indices i from 1 through n and j from 1 through p, computing the above using a nested loop:

  3. Matrix multiplication - Wikipedia

    en.wikipedia.org/wiki/Matrix_multiplication

    Matrix multiplication shares some properties with usual multiplication. However, matrix multiplication is not defined if the number of columns of the first factor differs from the number of rows of the second factor, and it is non-commutative, [10] even when the product remains defined after changing the order of the factors. [11] [12]

  4. Computational complexity of matrix multiplication - Wikipedia

    en.wikipedia.org/wiki/Computational_complexity...

    In theoretical computer science, the computational complexity of matrix multiplication dictates how quickly the operation of matrix multiplication can be performed. Matrix multiplication algorithms are a central subroutine in theoretical and numerical algorithms for numerical linear algebra and optimization, so finding the fastest algorithm for matrix multiplication is of major practical ...

  5. Category of matrices - Wikipedia

    en.wikipedia.org/wiki/Category_of_matrices

    The identity morphism at each object is given by the identity matrix; The composition of morphisms A : m → n {\displaystyle A:m\to n} and B : n → p {\displaystyle B:n\to p} (i.e. of matrices n × m {\displaystyle n\times m} and p × n {\displaystyle p\times n} ) is given by matrix multiplication .

  6. Array programming - Wikipedia

    en.wikipedia.org/wiki/Array_programming

    Function rank is an important concept to array programming languages in general, by analogy to tensor rank in mathematics: functions that operate on data may be classified by the number of dimensions they act on. Ordinary multiplication, for example, is a scalar ranked function because it operates on zero-dimensional data (individual numbers).

  7. Matrix (mathematics) - Wikipedia

    en.wikipedia.org/wiki/Matrix_(mathematics)

    A group in which the objects are matrices and the group operation is matrix multiplication is called a matrix group. [65] [66] Since a group of every element must be invertible, the most general matrix groups are the groups of all invertible matrices of a given size, called the general linear groups.

  8. Category:Matrix multiplication algorithms - Wikipedia

    en.wikipedia.org/wiki/Category:Matrix...

    Pages in category "Matrix multiplication algorithms" The following 4 pages are in this category, out of 4 total. This list may not reflect recent changes. ...

  9. Cannon's algorithm - Wikipedia

    en.wikipedia.org/wiki/Cannon's_algorithm

    In computer science, Cannon's algorithm is a distributed algorithm for matrix multiplication for two-dimensional meshes first described in 1969 by Lynn Elliot Cannon. [1] [2]It is especially suitable for computers laid out in an N × N mesh. [3]