Вы можете использовать diff()
.Также вы можете сделать это, используя метод умножения матриц.
Пример
set.seed(42)
x <- sample(10, 10, replace=TRUE)
> x
[1] 10 10 3 9 7 6 8 2 7 8
> diff(x)
[1] 0 -7 6 -2 -1 2 -6 5 1
# difference matrix approach
lbd <- matrix(0, nrow=length(x) - 1, ncol=length(x)) # setup lambda
diag(lbd) <- -1
diag(lbd[, -1]) <- 1
> lbd
[,1] [,2] [,3] [,4] [,5] [,6] [,7] [,8] [,9] [,10]
[1,] -1 1 0 0 0 0 0 0 0 0
[2,] 0 -1 1 0 0 0 0 0 0 0
[3,] 0 0 -1 1 0 0 0 0 0 0
[4,] 0 0 0 -1 1 0 0 0 0 0
[5,] 0 0 0 0 -1 1 0 0 0 0
[6,] 0 0 0 0 0 -1 1 0 0 0
[7,] 0 0 0 0 0 0 -1 1 0 0
[8,] 0 0 0 0 0 0 0 -1 1 0
[9,] 0 0 0 0 0 0 0 0 -1 1
> lbd %*% x # matrix multiplication, same result as in `diff(x)` above
[,1]
[1,] 0
[2,] -7
[3,] 6
[4,] -2
[5,] -1
[6,] 2
[7,] -6
[8,] 5
[9,] 1
Используя ваши данные:
x1 <- 1:4
lbd1 <- matrix(0, nrow=length(x1) - 1, ncol=length(x1))
diag(lbd1) <- -1
diag(lbd1[, -1]) <- 1
> lbd1 %*% x1
[,1]
[1,] 1
[2,] 1
[3,] 1
> diff(x1) # same
[1] 1 1 1