Representation of a sparse matrix, Data Structure & Algorithms

Assignment Help:

Let us assume a sparse matrix from storage view point. Assume that the entire sparse matrix is stored. Then, a significant amount of memory that stores the matrix consists of zeroes. It is nothing but wastage of memory. In real life, such wastage might count to megabytes. Thus, an efficient method of storing sparse matrices ought to be looked into.

Figure illustrates a sparse matrix of order 7 × 6.

 

 

0

 

1

 

2

 

3

 

4

 

5

 

0

 

0

 

0

 

0

 

5

 

0

 

0

 

1

 

0

 

4

 

0

 

0

 

0

 

0

 

2

 

0

 

0

 

0

 

0

 

9

 

0

 

3

 

0

 

3

 

0

 

2

 

0

 

0

 

4

 

1

 

0

 

2

 

0

 

0

 

0

 

5

 

0

 

0

 

0

 

0

 

0

 

0

 

6

 

0

 

0

 

8

 

0

 

0

 

0

 

Figure: Representation of a sparse matrix of order 7 × 6

A general way of representing non zero elements of any sparse matrix is the 3-tuple form. The primary row of sparse matrix always indicates the number of columns, the number of rows, & number of non zero elements in the matrix. The number seven represents the entire number of rows sparse matrix. Alike, in the matrix the number six represents the total number of columns. The number eight represents the overall number of non zero elements in the matrix. Each of non zero element is stored from the second row, along the 1st & 2nd elements of the row, mentioning the row number & column number respectively wherein the element is present in the original matrix. In this row the 3rd element stores the actual value of the non zero element. For instance, the 3- tuple representation of the matrix of Figure is illustrated in Figure

1382_Representation of a sparse matrix.png

Figure: tuple representation of above figure

The following program 1 accepts a matrix as input that is sparse & prints the corresponding 3-tuple representations.


Related Discussions:- Representation of a sparse matrix

#, write an algorithm to search a particular node in linked list which retu...

write an algorithm to search a particular node in linked list which returns " FOUND" or "NOT FOUND" as outcome.

Hash tables, Q. Explain the Hash Tables, Hash function and Hashing Techniqu...

Q. Explain the Hash Tables, Hash function and Hashing Techniques properly?             A n s . H as h Table is explained as follows : A hash table is a data struc

Implementation of multiple queues, Thus far, we have seen the demonstration...

Thus far, we have seen the demonstration of a single queue, but several practical applications in computer science needs several queues. Multi queue is data structure in which mult

Selection sort, how to reduce the number of passes in selection sort

how to reduce the number of passes in selection sort

Explain division method, Explain Division Method Division Method: - In...

Explain Division Method Division Method: - In this method, key K to be mapped into single of the m states in the hash table is divided by m and the remainder of this division

Binry trees, Build a class ?Node?. It should have a ?value? that it stores ...

Build a class ?Node?. It should have a ?value? that it stores and also links to its parent and children (if they exist). Build getters and setters for it (e.g. parent node, child n

Binary search trees, In this unit, we discussed Binary Search Trees, AVL tr...

In this unit, we discussed Binary Search Trees, AVL trees and B-trees. The outstanding feature of Binary Search Trees is that all of the elements of the left subtree of the root

Push and pop operations, Q. Explain that how do we implement two stacks in ...

Q. Explain that how do we implement two stacks in one array A[1..n] in such a way that neither the stack overflows unless the total number of elements in both stacks together is n.

Average case anaysis, what is the impoartance of average case analysis of ...

what is the impoartance of average case analysis of algorithm

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