Compute the norm of a vector or matrix, as determined by the
type
.
maxeig(x)# S4 method for madness
maxeig(x)
# S4 method for madness,missing
norm(x)
# S4 method for madness,ANY
norm(x, type = "One")
the matrix norm, a non-negative number.
madness
object.
character string, specifying the type of matrix norm to be computed. A character indicating the type of norm desired.
"O"
, "o"
or "1"
specifies the one norm, (maximum absolute column sum);
"I"
or "i"
specifies the infinity norm (maximum absolute row sum);
"F"
or "f"
specifies the Frobenius norm (the
Euclidean norm of x
treated as if it were a vector);
"M"
or "m"
specifies the maximum modulus of
all the elements in x
; and
"2"
specifies the “spectral” or 2-norm, which
is the largest singular value (svd
) of x
.
The default is "O"
. Only the first character of
type[1]
is used.
Steven E. Pav shabbychef@gmail.com