Creates a compressed diagonal storage matrix corresponding to a symmetric banded matrix.

Syntax

M = SymBandMatrix(size, k)

Arguments

Name

Description

size

The size of each dimension of the original square matrix.

k

Number of sub- and super-diagonals in the lower or upper band of the original matrix. This should include zero entry off-diagonals that sit in between non-zero off-diagonals.

Output

Name

Description

M

The corresponding compressed diagonal storage matrix initialized with zeros.  The number of rows of M is k+1 and the number of columns equals size.

Example

Construct the compressed matrix format of A, where A is a 3x3 symmetric matrix with one sub- and super-diagonal.

Syntax

k = 1 // off diagonals

M = SymBandMatrix(3,k); // The Compact Storage matrix

Result

M = [Matrix] 2 x 3

0     0     0

0     0     0

See Also:

BandMatrix