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

Explain the theory of computational complexity, Explain the theory of compu...

Explain the theory of computational complexity A  problem's  intractability  remains  the  similar  for  all  principal  models  of   computations    and   all reasonable inpu

#titlestrings, given the string "Data Structures & , Algorithms", write a p...

given the string "Data Structures & , Algorithms", write a program that uses sequential search to return index of ''&''

Execute algorithm to convert infix into post fix expression, Q. Execute you...

Q. Execute your algorithm to convert the infix expression to the post fix expression with the given infix expression as input Q = [(A + B)/(C + D) ↑ (E / F)]+ (G + H)/ I

What is diffuse illumination, Diffuse Illumination Diffuse illuminatio...

Diffuse Illumination Diffuse illumination means light that comes from all directions not from one particular source. Think about the light of a grey cloudy day as compared to

ALGORITHM AND TRACING, WRITE AN ALGORITHM TO CONVERT PARENTHIZED INFIX TO P...

WRITE AN ALGORITHM TO CONVERT PARENTHIZED INFIX TO POSTFIX FORM ALSO TRACE ALG ON ((A+B)*C-(D-E)$F+G)

Trees, What is AVL Tree? Describe the method of Deletion of a node from and...

What is AVL Tree? Describe the method of Deletion of a node from and AVL Tree ?

How many nodes in a tree have no ancestor, How many nodes in a tree have no...

How many nodes in a tree have no ancestors 1 node in atree have no ancestors.

Structures for complete undirected graphs, Q. Draw  the structures of compl...

Q. Draw  the structures of complete  undirected  graphs  on  one,  two,  three,  four  and  five vertices also prove that the number of edges in an n vertex complete graph is n(n-1

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