Documentation

This is machine translation

Translated by Microsoft
Mouseover text to see original. Click the button below to return to the English verison of the page.

Note: This page has been translated by MathWorks. Please click here
To view all translated materals including this page, select Japan from the country navigator on the bottom of this page.

我们为许可用户提供了部分翻译好的中文文档。您只需登录便可查阅这些文档

power, .^

Element-wise power

Syntax

C = A.^B
C = power(A,B)

Description

example

C = A.^B raises each element of A to the corresponding power in B.

C = power(A,B) is an alternate way to execute A.^B, but is rarely used. It enables operator overloading for classes.

Examples

collapse all

Create a vector, A, and square each element.

A = 1:5;
C = A.^2
C = 

     1     4     9    16    25

Create a matrix, A, and take the inverse of each element.

A = [1 2 3; 4 5 6; 7 8 9];
C = A.^-1
C = 

    1.0000    0.5000    0.3333
    0.2500    0.2000    0.1667
    0.1429    0.1250    0.1111

An inversion of the elements is not equal to the inverse of the matrix, which is instead written A^-1 or inv(A).

Calculate the roots of -1 to the 1/3 power.

A = -1;
B = 1/3;
C = A.^B
C = 
   0.5000 + 0.8660i

For negative base A and noninteger B, if abs(B) is less than 1, the power function returns the complex roots of A.

Use the nthroot function to obtain the real roots.

C = nthroot(A,3)
C = -1

Input Arguments

collapse all

Base, specified as a scalar, vector, matrix, or multidimensional array. Inputs A and B must either be the same size or have sizes that are compatible (for example, A is an M-by-N matrix and B is a scalar or 1-by-N row vector). For more information, see Compatible Array Sizes for Basic Operations.

Data Types: single | double | int8 | int16 | int32 | int64 | uint8 | uint16 | uint32 | uint64 | logical | char
Complex Number Support: Yes

Exponent, specified as a scalar, vector, matrix, or multidimensional array. Inputs A and B must either be the same size or have sizes that are compatible (for example, A is an M-by-N matrix and B is a scalar or 1-by-N row vector). For more information, see Compatible Array Sizes for Basic Operations.

Data Types: single | double | int8 | int16 | int32 | int64 | uint8 | uint16 | uint32 | uint64 | logical | char
Complex Number Support: Yes

Extended Capabilities

Introduced before R2006a


Was this topic helpful?