normest

2-norm estimate

Syntax

• nrm = normest(A)
• [nrm, count] = normest(A)
• nrm = normest(A, tolerance)
• [nrm, count] = normest(A, tolerance)

Input argument

• A - Input matrix
• tolerance - Relative error tolerance

Output argument

• nrm - Matrix norm: scalar.
• count - Number of power iterations: scalar.

Description

nrm = normest(A) returns an estimate of the 2-norm of the matrix A.

Example

M = [    0    2.4495         0         0         0         0         0
    2.4495         0    3.1623         0         0         0         0
         0    3.1623         0    3.4641         0         0         0
         0         0    3.4641         0    3.4641         0         0
         0         0         0    3.4641         0    3.1623         0
         0         0         0         0    3.1623         0    2.4495
         0         0         0         0         0    2.4495         0];
[nrm, count] = normest(M)
norm(M)

See also

norm, svd.

History

Author

Allan CORNET