sparse matrix

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

It is a specific type of a sparse matrix.

Sparse matrices are available but the implementation is not optimal yet.

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

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

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.

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

Special algorithms have been developed for factorizing large sparse matrices.

Both iterative and direct methods exist for sparse matrix solving.

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

Some support for sparse matrix storage is provided.

The whole sparse matrix is never created explicitly.

Huge sparse matrices often appear in science or engineering when solving partial differential equations.

Often peripheral sparse matrix algorithms need a starting vertex with a high eccentricity.

Indeed, some very large sparse matrices are infeasible to manipulate using standard dense algorithms.

The biggest disadvantage is that it fails to take advantage of coefficient matrix to be a sparse matrix.

Several variants of this approach based on sparse matrix techniques were studied by Barth et al..

Handle sparse matrices of unpredictable content.

A hollow matrix may be one with "few" non-zero entries: that is, a sparse matrix.

This data structure would inspire the sparse matrix data structure for the Twin spreadsheet.

The unstructured sparse matrices supports the same operations as the structured ones, except they do not have direct solvers.

Sparse matrix methods are now widely used to solve very large systems of simultaneous equations whose coefficients are mostly zero.

Another use is in the fixed effects model, where is a large sparse matrix of the dummy variables for the fixed effect terms.

Datastructures for dense and structured sparse matrices in the following formats: