an integer value, 1, 2 or Inf.
p=1 - The maximum absolute column sum norm which is defined
as the maximum of the sum of the absolute valued elements of columns
of the matrix.
p=2 - The spectral norm is "the norm" of a matrix X.
This value is computed as the square root of the maximum eigenvalue
of CX where C is the conjugate transpose.
p=Inf - The maximum absolute row sum norm is defined
as the maximum of the sum of the absolute valued elements
of rows of the matrix.
Value
returns the value of the norm of the matrix.
Details
The function norm2 computes the norm of a matrix. Three choices
are possible:
p=1 - The maximum absolute column sum norm which is defined
as the maximum of the sum of the absolute valued elements of columns
of the matrix.
p=2 - The spectral norm is "the norm" of a matrix X.
This value is computed as the square root of the maximum eigenvalue
of CX where C is the conjugate transpose.
p=Inf - The maximum absolute row sum norm is defined
as the maximum of the sum of the absolute valued elements
of rows of the matrix.
Note, the function fBasics::norm() has become obsolete, since
base::norm() has become available in the R base environment.
To avoid conflicts with norm() we have renamed in the fBasics
package as norm2.
References
Golub, van Loan, (1996);
Matrix Computations,
3rd edition. Johns Hopkins University Press.