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

Non-recursive implementation of binary tree traversals, As we have seen, as...

As we have seen, as the traversal mechanisms were intrinsically recursive, the implementation was also easy through a recursive procedure. Though, in the case of a non-recursive me

Preliminaries, Think of a program you have used that is unacceptably slow. ...

Think of a program you have used that is unacceptably slow. Identify the specific operations that make the program slow. Identify other basic operations that the program performs q

Darw a flowchart that inputs country someone is visiting, Regis lives in Br...

Regis lives in Brazil and frequently travels to USA, Japan and Europe. He wants to be able to convert Brazilian Reais into US dollars, European euros and Japanese yen. Conversion f

Explain about the string abstract data type operations, Explain about the S...

Explain about the String Abstract data type operations Symbol ADT has no concatenation operations, but presuming we have a full-featured String ADT, symbols can be concatenated

Database design and sql queries, In assignment, you have already started th...

In assignment, you have already started the process of designing a database for the Beauty Salon mini-case (enclosed again below), mainly in the phase of conceptual database design

SORTING ALGORIthm, the deference between insertion,selection and bubble sor...

the deference between insertion,selection and bubble sort

Mapping constain, one to many one to one many to many many to one

one to many one to one many to many many to one

Computer arhitecture, The controversy of RISC versus CISC never ends. Suppo...

The controversy of RISC versus CISC never ends. Suppose that you represent an advocate for the RISC approach; write at least a one-page critic of the CISC approach showing its disa

Algorithm for determining who won rock paper scissors game, Suppose you are...

Suppose you are given the results of 5 games of rock-paper-scissors. The results are given to you on separate pieces of paper; each piece says either 'A' if the first person won, o

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