MATLAB Programming

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1 Data Structures Full and Sparse Matrices It is not uncommon to have matrices with a large number of zero-valued elements and, because MATLAB stores zeros in the same way it stores any other numeric value, these elements can use memory space unnecessarily and can sometimes require extra computing time. Sparse matrices provide a way to store data that has a large percentage of zero elements more efficiently. While full matrices internally store every element in memory regardless of value, sparse matrices store only the nonzero elements and their row indices. Using sparse matrices can significantly reduce the amount of memory required for data storage. You can create sparse matrices for the double and logical data types. All MATLAB built-in arithmetic, logical, and indexing operations can be applied to sparse matrices, or to mixtures of sparse and full matrices. Operations on sparse matrices return sparse matrices and operations on full matrices return full matrices. See the section on Sparse Matrices in the MATLAB Mathematics documentation for more information onworkingwithsparsematrices. Sparse Matrix Functions Thistableshowssomeofthefunctions most commonly used when working with sparse matrices. Function full issparse nnz nonzeros nzmax spalloc sparse Description Convert a sparse matrix to a full matrix. Determine if a matrix is sparse. Return the number of nonzero matrix elements. Return the nonzero elements of a matrix. Return the amount of storage allocated for nonzero elements. Allocate spaceforasparsematrix. Create a sparse matrix or convert full to sparse. 1-50
Full and Sparse Matrices Function speye sprand Description Create a sparse identity matrix. Create a sparse uniformly distributed random matrix. 1-51
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MATLAB ® 7 Programming
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Revision History June 2004 First pr
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Operating on Diagonal Matrices ....
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Creating a Cell Array .............
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Examples of Anonymous Functions ...
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Features of Object-Oriented Program
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12 Programming Tips Command and Fun
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Converting Between Strings and Cell
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2 Data Types NaN MATLAB represents
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2 Data Types Function Summary MATLA
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2 Data Types Date Strings There are
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2 Data Types Utility Functions (Con
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2 Data Types MATLAB Classes All MAT
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3 Basic Program Components Symbol R
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4 M-File Programming Function Argum
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4 M-File Programming Saving the Pro
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5 Types of Functions Overview of MA
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6 Data Import and Export Working wi
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7 Working with Scientific Data Form
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8 Error Handling Checking for Error
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8 Error Handling matrixMultiply(A,
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8 Error Handling Message Identifier
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8 Error Handling error('msg_id', 'e
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8 Error Handling Warnings Like erro
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9 Classes and Objects Classes and O
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10 Scheduling Program Execution wit
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12 Programming Tips MATLAB Path (p.
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12 Programming Tips Starting MATLAB
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A External Interfaces A-2
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Index arithmetic operators 3-17 ove
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Index debugging 9-6 designing 9-9 j
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Index string, vector of input 2-70
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Index internet 6-116 downloading fr
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Index overloaded 5-37 function work
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Index I if and empty arrays 3-89 ex
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Index scalar 1-47 See also matrices
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Index inheritance multiple 9-40 sim
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Index reading HDF4 data 7-52 from t
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Index rotating matrices 1-34 S save
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