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

Procedures, what is far and near procedures in system programming?

what is far and near procedures in system programming?

Efficiency of binary search, Each of the comparison in the binary search de...

Each of the comparison in the binary search decrease the number of possible candidates where the key value can be searched by a factor of 2 as the array is divided into two halves

Sorting algorithms, Sorting is significant application activity. Several so...

Sorting is significant application activity. Several sorting algorithms are obtainable. But, each is efficient for a specific situation or a specific kind of data. The choice of a

Linked list, write an algorithm for multiplication of two sparse matrices u...

write an algorithm for multiplication of two sparse matrices using Linked Lists

Fifo, give any example of page replacement using fifo and use your own refe...

give any example of page replacement using fifo and use your own reference string

Sparse matrix, memory address of any element of lower left triangular spars...

memory address of any element of lower left triangular sparse matrix

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

If else, design algorithm and flow chart that computes the absolute differe...

design algorithm and flow chart that computes the absolute difference of two values x and y

Dijkstras algorithm, Djikstra's algorithm (named after it is discovered by ...

Djikstra's algorithm (named after it is discovered by Dutch computer scientist E.W. Dijkstra) resolves the problem of finding the shortest path through a point in a graph (the sour

Creation of a circular linked list, Program: Creation of a Circular linked ...

Program: Creation of a Circular linked list ALGORITHM (Insertion of an element into a Circular Linked List) Step 1        Begin Step 2      if the list is empty or new

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