可以参考官方的说明文档：

http://cn.mathworks.com/help/matlab/matlab_external/get-started-with-matlab-engine-for-python.html

MATLAB Engine API的使用文档：

http://cn.mathworks.com/help/matlab/matlab-engine-for-python.html

原材料：

1、MATLAB 2015a  32位的

2、Python 2.7.13    32位的

安装：

1、运行cmd，切换到matlab的目录下：

C:\Program Files (x86)\MATLAB\MATLAB Production Server\R2015a\extern\engines\python

由于这个文件夹是在C盘的，安装时有可能会遇到写权限的问题。如果出现write permission，可以通过右击该文件夹，选择 属性->安全->编辑，给当前用户赋予完全控制的权限。

> python setup.py install 

即可完成安装。

2、python中调用matlab的API示例：

#coding=utf-8
import matlab.engine

if __name__ == '__main__':
    eng = matlab.engine.start_matlab('MATLAB_R2015a')
    a = eng.sqrt(4.0)
    print type(a),a
    eng.quit()
    pass

在Python中创建MATLAB数组

1、创建1XN数组

import matlab.engine
A = matlab.int8([1,2,3,4,5])
print type(A),A.size,A

#输出：
<class 'matlab.mlarray.int8'> (1, 5) [[1,2,3,4,5]]

 2、创建多维数组

import matlab.engine
A = matlab.double([[1,2,3,4,5], [6,7,8,9,10]])
print(A)

3、在Python中索引MATLAB数组

这里的MATLAB数组索引跟在MATLAB的IDE里面不一样，MATLAB是从1开始，而在Python中是从0开始索引

import matlab.engine
A = matlab.int8([1,2,3,4,5])
print(A[0])

#输出：
[1,2,3,4,5]

由于A是1X5的矩阵，A[0]就是[1,2,3,4,5]，如果要在A里面索引出4，则需要输入：

print A[0][3]

4、在Python中对MATLAB数组切片

这里语法跟Python中没多少差别，直接使用即可

import matlab.engine
A = matlab.int8([1,2,3,4,5])
print(A[0][1:4])

#输出：
[2,3,4]

切片赋值，也可以从一个MATLAB数组赋值到另一个MATLAB数组：

A = matlab.double([[1,2,3,4],[5,6,7,8]]);
A[0] = [10,20,30,40]
print(A)

#输出：
[[10.0,20.0,30.0,40.0],[5.0,6.0,7.0,8.0]]

A = matlab.int8([1,2,3,4,5,6,7,8]);
A[0][2:4] = [30,40]
A[0][6:8] = [70,80]
print(A)
#输出：
[[1,2,30,40,5,6,70,80]]

注意：

Note:   Slicing MATLAB arrays behaves differently from slicing a Python list. Slicing a MATLAB array returns a view instead of a shallow copy.
Given a MATLAB array and a Python list with the same values, assigning a slice results in different results as shown by the following code.
A = matlab.int32([[1,2],[3,4],[5,6]])
L = [[1,2],[3,4],[5,6]]
A[0] = A[0][::-1]
L[0] = L[0][::-1]
print(A)
[[2,2],[3,4],[5,6]]
print(L)
[[2, 1], [3, 4], [5, 6]]

数组reshape　　

import matlab.engine
A = matlab.int8([1,2,3,4,5,6,7,8,9])
A.reshape((3,3))
print(A)
[[1,4,7],[2,5,8],[3,6,9]]

Python中MATLAB支持的数据类型：

奇异值分解示例：

#coding=utf-8
import matlab.engine
from numpy import *

if __name__ == '__main__':
    eng = matlab.engine.start_matlab('MATLAB_R2015a')
    A = matlab.double([[1,2],[5,6]])
    print type(A),A.size,A
    print eng.eig(A)
    eng.quit()
    pass

Examples and How To

Install MATLAB Engine API for Python

To start the MATLAB engine within a Python session, you first must install the engine API as a Python package.

Install MATLAB Engine API for Python in Nondefault Locations

By default, the installer builds the engine API for Python in the matlabroot\extern\engines\python folder. The installer installs the engine in the default Python folder.

Start and Stop MATLAB Engine for Python

Options for starting the MATLAB Engine for Python.

Connect Python to Running MATLAB Session

How to connect the MATLAB Engine for Python to a shared MATLAB session that is already running on your local machine.

Call MATLAB Functions from Python

How to return an output argument from a MATLAB function. How to read multiple outputs from a function. What to do when the MATLAB function does not return an output argument.

Call MATLAB Functions Asynchronously from Python

This example shows how to call the MATLAB sqrt function asynchronously from Python and retrieve the square root later.

Call User Script and Function from Python

This example shows how to call a MATLAB script to compute the area of a triangle from Python.

Redirect Standard Output and Error to Python

This example shows how to redirect standard output and standard error from a MATLAB function to Python StringIO objects.

Use MATLAB Engine Workspace in Python

This example shows how to add variables to the MATLAB engine workspace in Python.

Use MATLAB Handle Objects in Python

This example shows how to create an object from a MATLAB handle class and call its methods in Python.

Use MATLAB Arrays in Python

This example shows how to create a MATLAB array in Python and pass it as the input argument to the MATLAB sqrt function.

Sort and Plot MATLAB Data from Python

This example shows how to sort data about patients into lists of smokers and nonsmokers in Python and plot blood pressure readings for the patients with MATLAB.

Get Help for MATLAB Functions from Python

From Python, you can access supporting documentation for all MATLAB functions.

Concepts

Get Started with MATLAB Engine API for Python

The MATLAB Engine API for Python provides a Python package named matlab that enables you to call MATLAB functions from Python.

System Requirements for MATLAB Engine API for Python

What you need to write and build MATLAB engine applications.

Pass Data to MATLAB from Python

When you pass Python data as input arguments to MATLAB functions, the MATLAB Engine for Python converts the data into equivalent MATLAB data types.

Handle Data Returned from MATLAB to Python

When MATLAB functions return output arguments, the MATLAB Engine API for Python converts the data into equivalent Python data types.

MATLAB Arrays as Python Variables

The matlab Python package provides array classes to represent arrays of MATLAB numeric types as Python variables so that MATLAB arrays can be passed between Python and MATLAB.

Default Numeric Types in MATLAB and Python

MATLAB stores all numeric values as double-precision floating point numbers by default.

Troubleshooting

Limitations to MATLAB Engine API for Python

The engine cannot start or connect to MATLAB on a remote machine.

Troubleshoot MATLAB Errors in Python

When a MATLAB function raises an error, the MATLAB Engine for Python stops the function and catches the exception raised by MATLAB.