力量,。^

元素能力

Syntax

C =A.^B

C =力量(A,B)

描述

C =A。^B提出的每个元素A到corresponding powers inB. The sizes ofA和Bmust be the same or becompatible.

If the sizes ofA和Bare compatible, then the two arrays implicitly expand to match each other. For example, if one ofA或者B是标量，然后将标量与另一个数组的每个元素组合。同样，具有不同方向的向量（一个行矢量和一个列向量）隐式扩展以形成矩阵。

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

Examples

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Square Each Element of Vector

打开实时脚本

创建一个向量，A, and square each element.

a = 1：5;C = A.^2

C =1×51 4 9 16 25

查找每个矩阵元素的倒数

打开实时脚本

Create a matrix,A，并取决于每个元素的倒数。

a = [1 2 3;4 5 6;7 8 9];c = a。^ -  1

C =3×31.0000 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 writtenA^-1或者INV（A）.

行向量到列矢量的功率

打开实时脚本

Create a 1-by-2 row vector and a 3-by-1 column vector and raise the row vector to the power of the column vector.

a = [2 3];b =（1：3）';a。^b

ans =3×22 3 4 9 8 27

结果是一个3 by-2矩阵，其中矩阵中的每个（i，j）元素等于a（j）。^ b（i）:

$a = [a_{1} a_{2}], b = [\begin{matrix} b_{1} \\ b_{2} \\ b_{3} \end{matrix}], a . ˆ b = [\begin{matrix} {a_{1}}^{b_{1}} & {a_{2}}^{b_{1}} \\ {a_{1}}^{b_{2}} & {a_{2}}^{b_{2}} \\ {a_{1}}^{b_{3}} & {a_{2}}^{b_{3}} \end{matrix}] .$

Find Roots of Number

打开实时脚本

计算根源-1到1/3力量.

A = -1; B = 1/3; C = A.^B

C =0.5000 + 0.8660i

For negative baseA和非企业B, the力量功能返回复杂的结果。

Use thenthrootfunction to obtain the real roots.

C =nthroot(A,3)

C =-1

Input Arguments

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`A`,`B`—Operands
标量|向量|矩阵|多维阵列

Operands, specified as scalars, vectors, matrices, or multidimensional arrays.A和Bmust either be the same size or have sizes that are compatible (for example,Ais anM-经过-N矩阵和B是标量或1-经过-N行矢量）。有关更多信息，请参阅兼容阵列大小用于基本操作.

具有整数数据类型的操作数不能复杂。

More About

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IEEECompliance

For real inputs,力量has a few behaviors that differ from those recommended in the IEEE^®-754 Standard.

	MATLAB^®	IEEE
`力量(1,NaN)`	`NaN`	`1`
`力量(NaN,0)`	`NaN`	`1`

Extended Capabilities

Tall Arrays
Calculate with arrays that have more rows than fit in memory.

This function fully supports tall arrays. For more information, seeTall Arrays.

C/C++ Code Generation
使用MATLAB®CODER™生成C和C ++代码。

Usage notes and limitations:

当两个X和Yare real, but力量(X,Y)is complex, simulation produces an error and generated code returnsNaN. To get the complex result, make the input valueXcomplex by passing in复合物（x）. For example,电力（复杂（x），y）.
当两个X和Yare real, butX .^ Yis complex, simulation produces an error and generated code returnsNaN. To get the complex result, make the input valueXcomplex by using复合物（x）. For example,复杂（x）。^y.
代码生成不支持此功能的稀疏矩阵输入。万博1manbetx

GPU Code Generation
使用GPU CODER™为NVIDIA®GPU生成CUDA®代码。

Usage notes and limitations:

当两个X和Yare real, but力量(X,Y)is complex, simulation produces an error and generated code returnsNaN. To get the complex result, make the input valueXcomplex by passing in复合物（x）. For example,电力（复杂（x），y）.
当两个X和Yare real, butX .^ Yis complex, simulation produces an error and generated code returnsNaN. To get the complex result, make the input valueXcomplex by using复合物（x）. For example,复杂（x）。^y.
代码生成不支持此功能的稀疏矩阵输入。万博1manbetx

HDL Code Generation
使用HDL Coder™生成用于FPGA和ASIC设计的Verilog和VHDL代码。

Both inputs must be scalar, and the exponent input,k，必须是一个整数。

Thread-Based Environment
Run code in the background using MATLAB®`背景池`或者accelerate code with Parallel Computing Toolbox™`螺纹池`.

This function fully supports thread-based environments. For more information, seeRun MATLAB Functions in Thread-Based Environment.

GPU Arrays
使用并行计算工具箱™在图形处理单元（GPU）上运行加速代码。

Usage notes and limitations:

不支持64位整数。万博1manbetx

有关更多信息，请参阅Run MATLAB Functions on a GPU(Parallel Computing Toolbox).

Distributed Arrays
Partition large arrays across the combined memory of your cluster using Parallel Computing Toolbox™.

此功能完全支持分布式数组。万博1manbetx有关更多信息，请参阅运行具有分布式数组的MATLAB功能(Parallel Computing Toolbox).

Version History

在R2006a之前引入

expand all

R2016b: Implicit expansion change affects arguments for operators

Behavior changed in R2016b

Starting in R2016b with the addition of implicit expansion, some combinations of arguments for basic operations that previously returned errors now produce results. For example, you previously could not add a row and a column vector, but those operands are now valid for addition. In other words, an expression like[1 2] + [1; 2]previously returned a size mismatch error, but now it executes.

If your code uses element-wise operators and relies on the errors that MATLAB previously returned for mismatched sizes, particularly within a尝试/catchblock, then your code might no longer catch those errors.

有关基本数组操作所需的输入尺寸的更多信息，请参见兼容阵列大小用于基本操作.

力量,。^

Syntax

描述

Examples

Square Each Element of Vector

查找每个矩阵元素的倒数

行向量到列矢量的功率

Find Roots of Number

Input Arguments

`A`,`B`—Operands
标量|向量|矩阵|多维阵列

More About

IEEECompliance

Extended Capabilities

Tall Arrays
Calculate with arrays that have more rows than fit in memory.

C/C++ Code Generation
使用MATLAB®CODER™生成C和C ++代码。

GPU Code Generation
使用GPU CODER™为NVIDIA®GPU生成CUDA®代码。

HDL Code Generation
使用HDL Coder™生成用于FPGA和ASIC设计的Verilog和VHDL代码。

Thread-Based Environment
Run code in the background using MATLAB®`背景池`或者accelerate code with Parallel Computing Toolbox™`螺纹池`.

GPU Arrays
使用并行计算工具箱™在图形处理单元（GPU）上运行加速代码。

Distributed Arrays
Partition large arrays across the combined memory of your cluster using Parallel Computing Toolbox™.

Version History

R2016b: Implicit expansion change affects arguments for operators

See Also

Topics

力量,。^

Syntax

描述

Examples

Square Each Element of Vector

查找每个矩阵元素的倒数

行向量到列矢量的功率

Find Roots of Number

Input Arguments

A,B—Operands标量|向量|矩阵|多维阵列

More About

IEEECompliance

Extended Capabilities

Tall ArraysCalculate with arrays that have more rows than fit in memory.

C/C++ Code Generation使用MATLAB®CODER™生成C和C ++代码。

GPU Code Generation使用GPU CODER™为NVIDIA®GPU生成CUDA®代码。

HDL Code Generation使用HDL Coder™生成用于FPGA和ASIC设计的Verilog和VHDL代码。

Thread-Based EnvironmentRun code in the background using MATLAB®背景池或者accelerate code with Parallel Computing Toolbox™螺纹池.

GPU Arrays使用并行计算工具箱™在图形处理单元（GPU）上运行加速代码。

Distributed ArraysPartition large arrays across the combined memory of your cluster using Parallel Computing Toolbox™.

Version History

R2016b: Implicit expansion change affects arguments for operators

See Also

Topics

`A`,`B`—Operands
标量|向量|矩阵|多维阵列

Tall Arrays
Calculate with arrays that have more rows than fit in memory.

C/C++ Code Generation
使用MATLAB®CODER™生成C和C ++代码。

GPU Code Generation
使用GPU CODER™为NVIDIA®GPU生成CUDA®代码。

HDL Code Generation
使用HDL Coder™生成用于FPGA和ASIC设计的Verilog和VHDL代码。

Thread-Based Environment
Run code in the background using MATLAB®`背景池`或者accelerate code with Parallel Computing Toolbox™`螺纹池`.

GPU Arrays
使用并行计算工具箱™在图形处理单元（GPU）上运行加速代码。

Distributed Arrays
Partition large arrays across the combined memory of your cluster using Parallel Computing Toolbox™.