dotprod: Generalized inner product of two matrices In dst: Using the Theory of Belief Functions

Description

The generalized inner product of two matrices combines two operators in the same manner as the classical inner product defined for the multiplication of two matrices. The number of rows of the second matrix must be equal the number of columns of the first matrix.

Usage

 `1` ```dotprod(x, y, g, f) ```

Arguments

 `x` A matrix of M rows by K columns. `y` A matrix of K rows by N columns. `g` Any operator: +, -, *, /, &, |, ==, <=, paste etc. `f` Any operator: +, -, *, /, &, |, ==, <=, paste etc.

Value

The result of the generalized inner product is returned.

Author(s)

Claude Boivin, Stat.ASSQ

Examples

 ``` 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19``` ```print("Standard matrix product") x <- y <- matrix(c(1:6), nrow = 2, byrow = TRUE) dotprod(x, t(y), g = "+", f = "*") ## same as x %*% t(y) print("Find some data x2 in the rows of a larger matrix y2") x2 <- matrix(c(1,0,0,1,1,1), nrow = 2, byrow = TRUE) y2 <- matrix(c(1,0,0,0,1,0,1,1,0,0,1,1,1,1,1), nrow = 5, byrow = TRUE) (1:nrow(y2)) * dotprod(x2, t(y2), g = "&", f = "==") print("Find some names in a long list") team_names <- matrix(c("Patrick", "Dole", "Amanda", "Dole", "Robert", "Calvin", "Alvina", "Klein", "Robert", "Gariepy", "Nellie", "Arcand"), ncol = 2, byrow = TRUE) colnames(team_names) <- c("First_name", "Last_name") print("Where in the list are the person with first name Robert and where are the Doles?") BobandDoles <- matrix(c("Robert", "", "", "Dole"), ncol = 2, byrow = TRUE) dotprod(team_names, t(BobandDoles),g="|",f="==") * (1:nrow(team_names)) ```

dst documentation built on Dec. 5, 2018, 9:04 a.m.