tropicalsparse.mm: tropicalsparse.mm()
In tropicalSparse: Sparse Tropical Algebra

Description Usage Arguments Details Value Examples

tropicalsparse.mm function performs the matrix-matrix operation on the equation: y = alpha * op(A) * op(B) + beta * op(C).

1 2	tropicalsparse.mm(alpha = NULL, A, opA = FALSE, B, opB = FALSE, beta = NULL, C, opC = FALSE, store = NULL, algebraType)

`alpha`	is a single real value.
`A`	is a matrix.
`opA`	is transpose of `A`.
`B`	is a matrix.
`opB`	is transpose of `B`.
`beta`	is a single real value.
`C`	is a matrix.
`opC`	is transpose of `C`.
`store`	is storage technique.
`algebraType`	is string input that can be `minplus` or `maxplus`.

The input of this function is three matrices, two constants, operation on these matrices, storage technique and type of Tropical Algebra. Matrices and algebraType inputs are compulsory while all other inputs are optional. A, B and C must be the matrix of same dimensions and these matrices must be sparse otherwise error occured. alpha and beta must be the single real value. opA, opB and opC can be set to TRUE to take transpose of A, B and C matrices repectively. store input can be coo, csc and csr for applying following storage techniques respectively: Coordinate-Wise, Compressed Sparse Row, Compressed Sparse Column. If store is not specified then functionality is performed without using any storage technique. algebraType is used to specify type of Tropical Algebra. This can be minplus or maxplus. For more details about algebraType, see detail section of check.infinityM or check.infinityV. First of all A is multiplied with B and if alpha is given then the product of A and B will be multipied with alpha otherwise it remais the same. After this, beta is multiplied with C only if beta is given. Finally, both result are added to each other and the resultant matrix is obtained. Same functionailty is applied if any of the store technique is specified.

Returns the resultant matrix.

a <- matrix(data = c(2, Inf, Inf, 0, Inf, Inf, Inf, 10, Inf),
nrow = 3, ncol = 3, byrow = TRUE)

b <- matrix(data = c(Inf, Inf, 4, Inf, -0.3, Inf, Inf, 2, Inf),
nrow = 3, ncol = 3, byrow = TRUE)

c <- matrix(data = c(1, Inf, Inf, Inf, 0, 6, Inf, Inf, Inf),
nrow = 3, ncol = 3, byrow = TRUE)

tropicalsparse.mm(A = a, alpha = 5, opB = TRUE, B = b, C = c,
store = 'csr', algebraType = 'minplus')

#      [,1] [,2] [,3]
# [1,]    1  Inf  Inf
# [2,]  Inf  0.0    6
# [3,]  Inf 14.7   17