Matrix representation

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A matrix representation is a method used by a computer language to store matrices of more than one dimension in memory.

Fortran and C use different schemes. Fortran uses "Column Major", in which all the elements for a given column are stored contiguously in memory. C uses "Row Major", which stores all the elements for a given row contiguously in memory.

LAPACK defines various matrix representations in memory. There is also Sparse matrix representation and Morton-order matrix representation.

According to the documentation, in LAPACK the unitary matrix representation is optimized. See [1].

Some languages such as Java store matrices using Iliffe vectors. These are particularly useful for storing irregular matrices.

[edit] See also

• Row- and column-major order
• Sparse matrix
• Skyline matrix

[edit] External links

• http://developer.r-project.org/Sparse.html a description of sparse matrices in R.

Note 1: R. LEHOUCQ, The computation of elementary unitary matrices, Computer Science Dept. Technical Report CS-94-233, University of Tennessee, Knoxville, 1994. (LAPACK Working Note 72).

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