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Programming

Version 7

MATLAB

The Language of Technical Computing

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MATLAB Programming

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Revision History:

June 2004 First printing New for MATLAB 7.0 (Release 14).

Formerly part of Using MATLAB.

October 2004 Online only Revised for MATLAB 7.0.1 (Release 14SP1) March 2005 Online only Revised for MATLAB 7.0.4 (Release 14SP2) i

Contents

1

Data Structures

Creating and Concatenating Matrices . . . . . . . . . . . . . . . . . . 1-3 Constructing a Simple Matrix . . . . . . . . . . . . . . . . . . . . . . . . . . 1-4 Specialized Matrix Functions . . . . . . . . . . . . . . . . . . . . . . . . . . . 1-4 Concatenating Matrices . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 1-7 Matrix Concatenation Functions . . . . . . . . . . . . . . . . . . . . . . . . 1-8 Generating a Numeric Sequence . . . . . . . . . . . . . . . . . . . . . . . 1-10 Combining Unlike Data Types . . . . . . . . . . . . . . . . . . . . . . . . 1-11 Matrix Indexing . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 1-17 Accessing Single Elements . . . . . . . . . . . . . . . . . . . . . . . . . . . . 1-17 Linear Indexing . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 1-18 Functions That Control Indexing Style . . . . . . . . . . . . . . . . . . 1-19 Accessing Multiple Elements . . . . . . . . . . . . . . . . . . . . . . . . . . 1-19 Logical Indexing . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 1-21 Indexing on Assignment . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 1-22 Getting Information About a Matrix . . . . . . . . . . . . . . . . . . . 1-23 Dimensions of the Matrix . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 1-23 Data Types Used in the Matrix . . . . . . . . . . . . . . . . . . . . . . . . 1-24 Data Structures Used in the Matrix . . . . . . . . . . . . . . . . . . . . 1-25 Resizing and Reshaping Matrices . . . . . . . . . . . . . . . . . . . . . 1-26 Expanding the Size of a Matrix . . . . . . . . . . . . . . . . . . . . . . . . 1-26 Diminishing the Size of a Matrix . . . . . . . . . . . . . . . . . . . . . . . 1-30 Reshaping a Matrix . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 1-31 Preallocating Memory . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 1-33 Shifting and Sorting Matrices . . . . . . . . . . . . . . . . . . . . . . . . . 1-35 Shift and Sort Functions . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 1-35 Shifting the Location of Matrix Elements . . . . . . . . . . . . . . . . 1-35 Sorting the Data in Each Column . . . . . . . . . . . . . . . . . . . . . . 1-37 Sorting the Data in Each Row . . . . . . . . . . . . . . . . . . . . . . . . . 1-37 Sorting Row Vectors . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 1-38 iiContents Operating on Diagonal Matrices . . . . . . . . . . . . . . . . . . . . . . . 1-39 Constructing a Matrix from a Diagonal Vector . . . . . . . . . . . . 1-39 Returning a Triangular Portion of a Matrix . . . . . . . . . . . . . . . 1-40 Concatenating Matrices Diagonally . . . . . . . . . . . . . . . . . . . . . 1-40 Empty Matrices, Scalars, and Vectors . . . . . . . . . . . . . . . . . . 1-41 The Empty Matrix . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 1-41

Scalars . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 1-44

Vectors . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 1-44

Full and Sparse Matrices . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 1-46 Sparse Matrix Functions . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 1-46 Multidimensional Arrays . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 1-48 Overview . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 1-48quotesdbs_dbs3.pdfusesText_6