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Etymologie

Was (wer) ist matrix multiplication - definition

Matrix multiplication

$ω}} over time for the computational complexity of matrix multiplication <math>O(n^\omega)</math>.$
$The computation of the bottom left entry of <math>\mathbf{AB}</math> corresponds to the consideration of all paths (highlighted) from basic commodity <math>b_4</math> to final product <math>f_1</math> in the production flow graph.$

MATHEMATICAL OPERATION IN LINEAR ALGEBRA

Direct product (Matrix); Multiplying matrices; Matrix product; Matrix concatenation; Matrix–vector multiplication; Matrix vector multiplication; Matrix Multiplication; Hadamard matrix product; Matrix–vector product; Matrix multiply; Matmul; Matrix-vector multiplication; Matrix-vector product

In mathematics, particularly in linear algebra, matrix multiplication is a binary operation that produces a matrix from two matrices. For matrix multiplication, the number of columns in the first matrix must be equal to the number of rows in the second matrix.

https://en.wikipedia.org/wiki/Matrix_multiplication

Matrix chain multiplication

OPTIMIZATION PROBLEM

Chain matrix multiplication; Matrix-chain multiplication

Matrix chain multiplication (or the matrix chain ordering problem) is an optimization problem concerning the most efficient way to multiply a given sequence of matrices. The problem is not actually to perform the multiplications, but merely to decide the sequence of the matrix multiplications involved.

https://en.wikipedia.org/wiki/Matrix_chain_multiplication

Matrix multiplication algorithm

$ω}} over time for the computational complexity of matrix multiplication <math>O(n^\omega)</math>.$

ALGORITHM TO MULTIPLY MATRICES

Coppersmith-Winograd algorithm; Algorithms for matrix multiplication; Fast matrix multiplication algorithms; Cache-oblivious matrix multiplication; Algorithm for matrix multiplication; Divide and conquer algorithm for matrix multiplication; Parallel algorithms for matrix multiplication

Because matrix multiplication is such a central operation in many numerical algorithms, much work has been invested in making matrix multiplication algorithms efficient. Applications of matrix multiplication in computational problems are found in many fields including scientific computing and pattern recognition and in seemingly unrelated problems such as counting the paths through a graph.

https://en.wikipedia.org/wiki/Matrix_multiplication_algorithm