Scilab Reference Manual |
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power — power operation (^,.^)
t=A^b t=A**b t=A.^b
(A:square)^(b:scalar) | : If A is a square matrix and b is a scalar then A^b is the matrix A to the power b. |
(A:matrix).^(b:scalar) | : If b is a scalar and A a matrix then A.^b is the matrix formed by the element of A to the power b (elementwise power). If A is a vector and b is a scalar then A^b and A.^b performs the same operation (i.e elementwise power). |
(A:scalar).^(b:matrix) | If A is a scalar and b is a matrix (or vector) A^b and A.^b are the matrices (or vectors) formed by a^(b(i,j)). |
(A:matrix).^(b:matrix) | If A and b are vectors (matrices) of the same size A.^b is the A(i)^b(i) vector (A(i,j)^b(i,j) matrix). |
Notes:
- For square matrices A^p is computed through successive matrices multiplications if p is a positive integer, and by diagonalization if not.
- ** and ^ operators are synonyms.
A=[1 2;3 4]; A^2.5, A.^2.5 (1:10)^2 (1:10).^2 s=poly(0,'s') s^(1:10)
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