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

Advantages of first in first out method, Advantages of First in First out (...

Advantages of First in First out (FIFO) Costing Advantages claimed for first in first  out (FIFO)  costing method are: 1. Materials used are drawn from the cost record in

Techniques of representing polynomials using arrays, Q. Explain any three m...

Q. Explain any three methods or techniques of representing polynomials using arrays. Write which method is most efficient or effective for representing the following polynomials.

Comparisions and assignments in worst case, Q. Calculate that how many key ...

Q. Calculate that how many key comparisons and assignments an insertion sort makes in its worst case?        Ans: The worst case performance occurs in insertion

Implement the physat algorithm, The first assignment in this course require...

The first assignment in this course required you to acquire data to enable you to implement the PHYSAT algorithm (Alvain et al. 2005, Alvain et al. 2008) in this second assignment

Create a binary tree , Create a class "box" that will contain a random inte...

Create a class "box" that will contain a random integer value v such that O

Define min-heap, Define min-heap A min-heap is a complete binary tree i...

Define min-heap A min-heap is a complete binary tree in which each element is less than or equal to its children. All the principal properties of heaps remain valid for min-hea

State the ways to construct container taxonomy, State the ways to construct...

State the ways to construct container taxonomy There are several ways that we could construct our container taxonomy from here; one way that works well is to make a fundamental

What is a data structure, Question 1 What is a data structure? Discuss bri...

Question 1 What is a data structure? Discuss briefly on types of data structures Question 2 Explain the insertion and deletion operation of linked list in detail Question

Postorder traversal of a binary tree, Postorder traversal of a binary tree ...

Postorder traversal of a binary tree struct NODE { struct NODE *left; int value;     /* can take any data type */ struct NODE *right; }; postorder(struct NODE

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