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

Importance of object-oriented over java, Importance of Object-Oriented over...

Importance of Object-Oriented over java Java is basically based on OOP notions of classes and objects. Java uses a formal OOP type system that should be obeyed at compile-t

Non-recursive algorithm to traverse a tree in preorder, Write the non-recur...

Write the non-recursive algorithm to traverse a tree in preorder.    The Non- Recursive algorithm for preorder traversal is as follows: Initially  push NULL onto stack and

Convertion, how we can convert a graph into tree

how we can convert a graph into tree

Entity relationship diagram, This question is based on the requirements of ...

This question is based on the requirements of a system to record band bookings at gigs. (A 'gig' is an event at which one or more bands are booked to play). You do not need to know

Postfix expression algorithm, Write an algorithm to calculate a postfix exp...

Write an algorithm to calculate a postfix expression.  Execute your algorithm using the given postfix expression as your input : a b + c d +*f ↑ . T o evaluate a postfix expr

Explain the linked list implementation of stack, Question 1 Explain the fo...

Question 1 Explain the following? Arrays Stack Trees Question 2 Explain the Linked list implementation of stack Question 3 What is a binary tree? Expla

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

High-level and bubble algorithm , 1. Give both a high-level algorithm and a...

1. Give both a high-level algorithm and an implementation (\bubble diagram") of a Turing machine for the language in Exercise 3.8 (b) on page 160. Use the ' notation to show the co

Applications, Arrays are simple, however reliable to employ in more conditi...

Arrays are simple, however reliable to employ in more condition than you can count. Arrays are utilized in those problems while the number of items to be solved out is fixed. They

Linked List Variations, Part1: Deque and Bag Implementation First, complet...

Part1: Deque and Bag Implementation First, complete the Linked List Implementation of the Deque (as in Worksheet 19) and Bag ADTs (Worksheet 22). Files Needed: linkedList.c Linke

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