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power Scilab Group Scilab Function power
NAME
power - power operation (^,.^)
CALLING SEQUENCE
t=A^b
t=A**b
t=A.^b
PARAMETERS
A,t : scalar, polynomial or rational matrix.
b :a scalar, a vector or a scalar matrix.
DESCRIPTION
(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 scalar 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) with compatible dimensions 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.
EXAMPLE
A=[1 2;3 4];
A^2.5,
A.^2.5
(1:10)^2
(1:10).^2
s=poly(0,'s')
s^(1:10)
SEE ALSO
exp
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