Min-plus matrix multiplication, also known as distance product, is an operation on matrices. Given two n × n {\displaystyle n\times n} matrices A = ( a...

formulation of the above can be obtained by using the min-plus algebra. Matrix multiplication in this system is defined as follows: Given two n × n matrices...

repeatedly square the adjacency matrix of the given graph, logarithmically many times, using min-plus matrix multiplication with maximization in place of...

Volker Strassen, is an algorithm for matrix multiplication. It is faster than the standard matrix multiplication algorithm for large matrices, with a...

Euclidean shortest path Flow network K shortest path routing Min-plus matrix multiplication Pathfinding Shortest Path Bridging Shortest path tree TRILL...

sides LeftSide = OptimalMatrixMultiplication(s, i, s[i, j]) RightSide = OptimalMatrixMultiplication(s, s[i, j] + 1, j) return MatrixMultiply(LeftSide, RightSide)...

with coefficients in R {\displaystyle R} , the matrix semiring using ordinary addition and multiplication rules of matrices. Given n ∈ N {\displaystyle...

\omega } is the exponent of matrix multiplication and α {\displaystyle \alpha } is the dual exponent of matrix multiplication. α {\displaystyle \alpha }...

signified by the plus symbol, +) is one of the four basic operations of arithmetic, the other three being subtraction, multiplication, and division. The...

generally irreducible non-negative matrix) A, the Perron–Frobenius eigenvector is the only (up to multiplication by constant) non-negative eigenvector...

mathematics that deals with numerical operations like addition, subtraction, multiplication, and division. In a wider sense, it also includes exponentiation, extraction...

can be efficiently implemented via linear algebraic methods (e.g. matrix multiplication) over different semirings. The development of GraphBLAS and its...

In-place matrix transposition, also called in-situ matrix transposition, is the problem of transposing an N×M matrix in-place in computer memory, ideally...

square matrix multiplication Freivalds' algorithm: a randomized algorithm used to verify matrix multiplication Strassen algorithm: faster matrix multiplication...

scalar/vector multiplication, matrix-vector multiplication (vector interpreted as column)) Vector: 3 editable tables, preset last matrix/vector result...

repeated Dijkstra approach. There are also known algorithms using fast matrix multiplication to speed up all-pairs shortest path computation in dense graphs...

matrix of the components. The next expression states equivalently that the variance of the sum is the sum of the diagonal of covariance matrix plus two...

{\displaystyle n_{2}\times n_{2}} adjacency matrix A 2 {\displaystyle \mathbf {A} _{2}} , then the adjacency matrix of the Cartesian product of both graphs...

the visibilities covariance matrix and coloring the white noise term. This scheme attempts to make the interference-plus-noise term spectrally white....

result of a multiplication Matrix decompositions: LU decomposition — lower triangular times upper triangular QR decomposition — orthogonal matrix times triangular...

any additional multiplicative factor. Combined with appropriate factors of √2 (see above), this can be used to make the transform matrix orthogonal. Multidimensional...

queries and keys per loop iteration, in a similar way as blocked matrix multiplication. If backpropagation is needed, then the output vectors and the intermediate...

)\;dV_{\mathbf {X} }} _{=I_{2}}} This equation amounts the matrix-vector multiplications above plus the marginalization with respect to X {\displaystyle \mathbf...

technologies such as MiniDiscs, CDs, DVDs, Blu-ray discs, QR codes, Data Matrix, data transmission technologies such as DSL and WiMAX, broadcast systems...

some other operation. For example, a multiplicative magic square has a constant product of numbers. A multiplicative magic square can be derived from an...

inversion of the covariance matrix R and multiplication by the a ω 1 , ω 2 {\displaystyle a_{\omega _{1},\omega _{2}}} matrix, which has to be done for...

values. The alpha max plus beta min algorithm is a high-speed approximation of Pythagorean addition using only comparison, multiplication, and addition, producing...

for large numbers. The following identity relates log semiring to the min-plus semiring. lim T → 0 − T log ⁡ ( e − s T + e − t T ) = m i n { s , t } {\displaystyle...

expressions. Circuit design: implementing efficient multiple constant multiplications, as used in finite impulse response filters. Regionalisation of socio-geographic...

approach, the channel matrix is diagonalized by taking an SVD and removing the two unitary matrices through pre- and post-multiplication at the transmitter...