octave: Basics

 
 22.1 Creation and Manipulation of Sparse Matrices
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 The size of mathematical problems that can be treated at any particular
 time is generally limited by the available computing resources.  Both,
 the speed of the computer and its available memory place limitation on
 the problem size.
 
    There are many classes of mathematical problems which give rise to
 matrices, where a large number of the elements are zero.  In this case
 it makes sense to have a special matrix type to handle this class of
 problems where only the nonzero elements of the matrix are stored.  Not
 only does this reduce the amount of memory to store the matrix, but it
 also means that operations on this type of matrix can take advantage of
 the a priori knowledge of the positions of the nonzero elements to
 accelerate their calculations.
 
    A matrix type that stores only the nonzero elements is generally
 called sparse.  It is the purpose of this document to discuss the basics
 of the storage and creation of sparse matrices and the fundamental
 operations on them.
 

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