Several instances of each of these basic formats are defined. These are obtained by specifyin size of the data file $($i$.$e$.$ general, symmetric, skew$-$symmetric, Hermitian$)$ by storing nonzero

MM coordinate format is suitable for representing sparse matrices. Only nonzero entries nee sparse matrix.

$\backslash$table$[[1,0,0,6,0],[0,10\mathrm{.}5,0,0,0],[0,0,\mathrm{.}015,0,0],[0,250\mathrm{.}5,0,-280,33\mathrm{.}32],[0,0,0,0,12]]$

In $MM$ coordinate format this could be represented as follows.

$8.$MatrixMarket matrix coordinate real general

This ASCII file represents a sparse MxN matrix with L

nonzeros in the following Matrix Market format:

is matrixMarket matrix coordinate real general

$18$

is comments

if

M N L

I$1$ J$1$ A$($I$1,$ J$1)$

I$2$ J$2A(I2,J2)$

I$3$ J$3A(I3,J3)$

IL $J{L}^{}{A}^{}(IL,JL)$

header line

$1--0$ or more comment lines

rows, columns, entries

$|--$ I lines

Indices are $1-$based, i$.$e$.A(1,1)$ is the first element.

$1,1,1\mathrm{.}000e+00$

$2,2,1\mathrm{.}050e+01$

$3,3,1\mathrm{.}500e-02$

$1,4,6\mathrm{.}000e+00$

$4,2,2\mathrm{.}505e+02$

$4,4,-2\mathrm{.}800e+02$

$4,5,3\mathrm{.}332e+01$

$5,5,1\mathrm{.}200e+01$

The first line contains the type code. In this example, it indicates that the object being represen mean that the matrix format is not taking advantage of any symmetry properties.$)$

Variants of the coordinate format are defined for matrices with complex and integer entries, as by changing real to complex, integer, or pattern, respectively, on the header line$).$ Addition symmetric and Hermitian. In these cases, only entries in the lower triangular portion need b indicated by changing general to symmetric, skew$-$symmetric, or hermitian, respectively, or

The following software packages are available to aid in reading and writing matrices in Matrix

Matrix Market I$/$O in C

Matrix Market I$/$O in Fortran

Matrix Market I$/$O in Matlab$////////$ this is matrix market exchangr format for mu parallel matrix vector multiplication mpi need to construct matrix in matrix market format pls explain format and give example and output