power - Power operation (^,.^) (original) (raw)

Scilab 5.3.3

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Scilab help >> Scilab > Scilab keywords > power

Calling Sequence

Arguments

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 thenA.^b is the matrix formed by the element ofA to the power b (elementwise power). IfA is a vector and b is a scalar thenA^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.

Examples

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 — element-wise exponential