MATLAB Mathematics - SERC - Index of

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6 Sparse Matrices Importing Sparse Matrices from Outside MATLAB You can import sparse matrices from computations outside MATLAB. Use the spconvert function in conjunction with the load command to import text files containing lists of indices and nonzero elements. For example, consider a three-column text file T.dat whose first column is a list of row indices, second column is a list of column indices, and third column is a list of nonzero values. These statements load T.dat into MATLAB and convert it into a sparse matrix S: load T.dat S = spconvert(T) The save and load commands can also process sparse matrices stored as binary data in MAT-files. 6-12
Viewing Sparse Matrices Viewing Sparse Matrices MATLAB provides a number of functions that let you get quantitative or graphical information about sparse matrices. This section provides information about: • Obtaining information about nonzero elements • Viewing graphs of sparse matrices • Finding indices and values of nonzero elements Information About Nonzero Elements There are several commands that provide high-level information about the nonzero elements of a sparse matrix: • nnz returns the number of nonzero elements in a sparse matrix. • nonzeros returns a column vector containing all the nonzero elements of a sparse matrix. • nzmax returns the amount of storage space allocated for the nonzero entries of a sparse matrix. To try some of these, load the supplied sparse matrix west0479, one of the Harwell-Boeing collection. load west0479 whos Name Size Bytes Class west0479 479x479 24576 sparse array This matrix models an eight-stage chemical distillation column. Try these commands. nnz(west0479) ans = 1887 format short e 6-13
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