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An important special type of sparse matrices is band matrix, defined as follows.

As another example, the following sparse matrix has lower and upper bandwidth both equal to 3.

Both iterative and direct methods exist for sparse matrix solving.

It is a specific type of a sparse matrix.

It is particularly useful for finding decompositions of very large sparse matrices.

In mathematics, this model is known as a sparse matrix.

The inverted index is a sparse matrix, since not all words are present in each document.

Thus these techniques are suited for large, sparse matrices.

The result is a sparse matrix, ones indicate the presence of a species in a sample.

Special algorithms have been developed for factorizing large sparse matrices.