Using sparse matrices to store data that contains a large number of zero-valued elements can both save a significant amount of memory and speed up the processing of that data. sparse is an attribute that you can assign to any two-dimensional MATLAB matrix that is composed of double or logical elements.The sparse attribute allows MATLAB to:Store only the nonzero elements of the matrix, together with their indices.Reduce computation time by eliminating operations on zero elements.For full matrices, MATLAB stores every matrix element internally. Zero-valued elements require the same amount of storage space as any other matrix element. For sparse matrices, however, MATLAB stores only the nonzero elements and their indices. For large matrices with a high percentage of zero-valued elements, this scheme significantly reduces the amount of memory required for data storage.
The comparative form of sparse is sparser
Vector matrix has both size and direction. There are different types of matrix namely the scalar matrix, the symmetric matrix, the square matrix and the column matrix.
No. A matrix polynomial is an algebraic expression in which the variable is a matrix. A polynomial matrix is a matrix in which each element is a polynomial.
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A sparse matrix is a matrix in which most of the elements are zero.
Another sparse matrix.
A sparse matrix is one which normally contains a large proportion of elements whose value is 0. There is no exact proportion at which a matrix becomes sparse.
write a programe to build a sparse matrix as an array. write function to check if the sparse matrix is a square, diagonal,lower triangular, upper triangular or tridiagonal matrix
A matrix that have one or more elements with value zero.
what is the disadvantage of sparse matrix?
A sparse matrix is an array with more zero values than non-zero values.
Sparse matirx can be represented 1-dimensionally, by creating a array of structures, that have members sumc as: Struct RM{int ROW,int COL, int non_zero}; struct RM SM[Number_non_Zeros +1]; then input row,col for each non-zero element of the sparse matrix. if still unclear please fell free to requestion or query on ikit.bbsr@gmail.com, specifying clearly the question in the subject. Chinmaya N. Padhy (IKIT)
This is a directive, not a question.
DataStructure-Program to transpose a sparse matrix.#include #include #include #define MAX1 3#define MAX2 3struct sparse{int *sp ;int row ;} ;void initsparse ( struct sparse * ) ;void create_array ( struct sparse * ) ;void display ( struct sparse ) ;int count ( struct sparse ) ;void create_tuple ( struct sparse *, struct sparse ) ;void display_tuple ( struct sparse ) ;void transpose ( struct sparse *, struct sparse ) ;void display_transpose ( struct sparse ) ;void delsparse ( struct sparse * ) ;void main( ){struct sparse s[3] ;int c, i ;for ( i = 0 ; i sp = ( int * ) malloc ( MAX1 * MAX2 * sizeof ( int ) ) ;for ( i = 0 ; i < MAX1 * MAX2 ; i++ ){printf ( "Enter element no. %d:", i ) ;scanf ( "%d", &n ) ;* ( p -> sp + i ) = n ;}}/* displays the contents of the matrix */void display ( struct sparse s ){int i ;/* traverses the entire matrix */for ( i = 0 ; i < MAX1 * MAX2 ; i++ ){/* positions the cursor to the new line for every new row */if ( i % MAX2 0 )printf ( "\n" ) ;printf ( "%d\t", * ( p.sp + i ) ) ;}}/* deallocates memory */void delsparse ( struct sparse *p ){free ( p -> sp ) ;}
A sparse matrix contains many (often mostly) zero entries. The basic idea when storing sparse matrices is to only store the non-zero entries as opposed to storing all entries. Depending on the number and distribution of the non-zero entries, different data structures can be used and yield huge savings in memory when compared to a naïve approach. One example of such a sparse matrix format is the (old) Yale Sparse Matrix Format [1]. It stores an initial sparse N×N matrix M in row form using three arrays, A, IA, JA. NZ denotes the number of nonzero entries in matrix M. The array Athen is of length NZ and holds all nonzero entries of M. The array IA stores at IA(i) the position of the first element of row i in the sparse array A. The length of row i is determined by IA(i+1) - IA(i). Therefore IA needs to be of length N + 1. In array JA, the column index of the element A(j) is stored. JA is of length NZ. Another possibility is to use quadtrees
A sparse array (or sparse matrix) is an array where only a few elements are actually allocated storage space in memory, the unallocated elements are forced to zero for calculation purposes. Such arrays usually use pointers to reference the storage for the allocated elements.