Storing a sparse matrix in memory, Data Structure & Algorithms

Assignment Help:

Explain an efficient method of storing a sparse matrix in memory. Write a module to find the transpose of the sparse matrix stored in this way.

A matrix which contains number of zero entries in much higher number than the number of non zero entries is called sparse matrix. The normal method of representing matrices in memory as two-dimensional arrays may not be appropriate for sparse matrices. One may save space by storing only nonzero entries in the matrix. For example the matrix A (3*3 matrix) represented below

0      2     0

5     0     0

0     6     9

can be written in the sparse matrix form as follows:

3     3     4

0     1     2

1     0     5

2     2     6

2     3     9

Where the first row represent the dimension of matrix and last column tells us the number of nonzero values; second row onwards it is giving the position and value of the non zero number.

 

A function which is used to find transpose of a sparse matrix is:

void  transpose(x,r,y)

int x[3][3],y[3][3],r;

{

int i,j,k,m,n,t,p,q,col;

m=x[0][0];

n=x[0][1];

t=x[0][2]; y[0][0]=n; y[0][1]=m; y[0][2]=t;

if(t>0)

{

q=1;

for (col=0;col<=n;col++)

for(p=1;p<=t;p++)

if(x[p][1]==col)

{

y[q][0]=x[p][1]; y[q][1]=x[p][0]; y[q][2]=x[p][2];

q++;

}

}

return;

}

 


Related Discussions:- Storing a sparse matrix in memory

Sparse matrix, How sparse matrix stored in the memory of a computer?

How sparse matrix stored in the memory of a computer?

Algorithm, Describe different methods of developing algorithms with example...

Describe different methods of developing algorithms with examples.

Tower of hanoi, how do we use 4-discs stack to solve tower of hanoi problem...

how do we use 4-discs stack to solve tower of hanoi problem and write an algorithm to solve it?

Best case, for i=1 to n if a[i}>7 for j=2 to n a[j]=a{j}+j for n=2 to n a...

for i=1 to n if a[i}>7 for j=2 to n a[j]=a{j}+j for n=2 to n a[k]=a[j]+i else if a[1]>4 && a[1] for 2 to a[1] a[j]= a{j]+5 else for 2to n a[j]=a[j]+i ..

Explain threaded binary tree, Threaded Binary Tree : If a node in a bin...

Threaded Binary Tree : If a node in a binary tree is not having left or right child or it is a leaf node then that absence of child node is shown by the null pointers. The spac

Primitive data structure, Primitive Data Structure These are the basic ...

Primitive Data Structure These are the basic structure and are directly operated upon by the machine instructions. These in general have dissimilar representations on different

Depth first search and breadth first search, Q. Illustrate the result of ru...

Q. Illustrate the result of running BFS and DFS on the directed graph given below using vertex 3 as source.  Show the status of the data structure used at each and every stage.

Determine the warnock algorithm, Warnock's Algorithm A divide and conqu...

Warnock's Algorithm A divide and conquer algorithm Warnock (PolyList PL, ViewPort VP) If (PL simple in VP) then Draw PL in VP, else Split VP vertically and horiz

The best average behaviour, The best average behaviour is shown by  Qui...

The best average behaviour is shown by  Quick Sort

Write Your Message!

Captcha
Free Assignment Quote

Assured A++ Grade

Get guaranteed satisfaction & time on delivery in every assignment order you paid with us! We ensure premium quality solution document along with free turntin report!

All rights reserved! Copyrights ©2019-2020 ExpertsMind IT Educational Pvt Ltd