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

Relative and direct files, Each data record contains a fixed place in a rel...

Each data record contains a fixed place in a relative file. Each record ought to have associated with it in integer key value which will help identify this slot. Therefore, this ke

Numerical - algorithm, Q. What is the smallest value of n such that an algo...

Q. What is the smallest value of n such that an algorithm whose running time is 100n2 runs faster than an algorithm whose running time is 2n on the same machine.    A n

Mcs-021, #questWrite an algorithm for multiplication of two sparse matrices...

#questWrite an algorithm for multiplication of two sparse matrices using Linked Lists.ion..

Breadth-first search, Breadth-first search starts at a given vertex h, whic...

Breadth-first search starts at a given vertex h, which is at level 0. In the first stage, we go to all the vertices that are at the distance of one edge away. When we go there, we

Creation of Heap, Q. Create a heap with the given list of keys: ...

Q. Create a heap with the given list of keys: 8, 20, 9, 4, 15, 10, 7, 22, 3, 12                                                  Ans: Creation

Define container in terms of object-oriented terms, Define container in te...

Define container in terms of  object-oriented terms A Container is a broad category whose instances are all more specific things; there is never anything which is just a Contai

The space - time trade off, The Space - Time Trade Off The best algorit...

The Space - Time Trade Off The best algorithm to solve a given problem is one that needs less space in memory and takes less time to complete its implementation. But in practic

What is a height balanced tree, What is a height balanced tree? Height Ba...

What is a height balanced tree? Height Balanced Tree (AVL Tree) An AVL tree is a binary search tree in which the height of the left and right subtree of the root vary by at most

Array-based representation of a binary tree, Assume a complete binary tree ...

Assume a complete binary tree T with n nodes where each node has an item (value). Label the nodes of the complete binary tree T from top to bottom & from left to right 0, 1, ..., n

Graph with n vertices will absolutely have a parallel edge, A graph with n ...

A graph with n vertices will absolutely have a parallel edge or self loop if the total number of edges is greater than n-1

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