Examples

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Use this list to find examples in the documentation.

Constructing Matrices

Constructing a Simple Matrix
Creating a Magic Square Matrix
Creating a Diagonal Matrix
Concatenating Matrices
Replicating a Matrix
Creating a Block Diagonal Matrix

Accessing Matrix Elements

Accessing Single Elements
Linear Indexing
Functions That Control Indexing Style
Accessing Multiple Elements
Nonconsecutive Elements
Specifying All Elements of a Row or Column

Basic Matrix Operations

Example Using numel
Example Using ndims, numel, and size
Example Using isnumeric and isreal
Expanding the Size of a Matrix
Diminishing the Size of a Matrix
Reshaping a Matrix
Transposing a Matrix
Rotating a Matrix
Flipping a Matrix
Shifting the Location of Matrix Elements
Sorting the Data in Each Column
Sorting the Data in Each Row
Sorting Row Vectors
Constructing a Matrix from a Diagonal Vector
Returning a Triangular Portion of a Matrix

Multidimensional Arrays

Generating Arrays Using Indexing
Generating Arrays Using MATLAB Functions
Building Multidimensional Arrays with the cat Function
Operating on Planes and Matrices
Multidimensional Cell Arrays
Multidimensional Structure Arrays

Systems of Linear Equations

Square Systems
Overdetermined Systems

Sparse Matrices

Systems of Linear Equations

Optimization

Roots of Scalar Functions
Minimizing Functions of One Variable
Minimizing Functions of Several Variables
Maximizing Functions
Curve Fitting via Optimization
Output Functions
Plot Function

Polynomials

Polynomial Curve Fitting

Function Functions

Function Plotting Function

Ordinary Differential Equations

van der Pol Equation (Nonstiff)
van der Pol Equation (Stiff)
van der Pol Equation (Parameterizing the ODE)
van der Pol Equation (Evaluating the Solution)
Euler Equations (Nonstiff)
Fully Implicit ODE
Finite Element Discretization
Large Stiff Sparse Problem
Event Location
Advanced Event Location
Differential-Algebraic Equations
Nonnegative Solutions
Additional Examples

Delay Differential Equations

Constant Delay
State-Dependent Delay
Cardiovascular Model
Additional Examples

Boundary Value Problems

Mathieu's Equation
Continuation
Singular BVPs
Multipoint BVPs
Additional Examples

Partial Differential Equations

Single PDE
System of PDEs
Additional Examples

Integration

Arc Length
Double Integration

Fourier Analysis

Basic Spectral Analysis
Spectral Analysis of a Whale Call
Data Interpolation
Diffraction Patterns

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