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Matrix representation : ウィキペディア英語版
Matrix representation

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.〔(【引用サイトリンク】url=http://www.ma.utexas.edu/documentation/lapack/node117.html )〕 Some languages such as Java store matrices using Iliffe vectors. These are particularly useful for storing irregular matrices. Matrices are of primary importance in linear algebra.
== Basic mathematical operations ==
(詳細はmatrix is a set of numbers arranged in m rows and n columns. Matrices of the same order can be added by adding the corresponding elements. Two matrices can be multiplied, the condition being that the number of columns of the first matrix is equal to the number of rows of the second matrix. Hence, if an m × n matrix is multiplied with an n × r matrix, then the resultant matrix will be of the order m × r.
Operations like row operations or column operations can be performed on a matrix, using which we can obtain the inverse of a matrix. The inverse may be obtained by determining the adjoint as well.〔 rows and columns are the different classes of matrices

抄文引用元・出典: フリー百科事典『 ウィキペディア(Wikipedia)
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