norm — Matrix Norm
norm
can calculate various types of matrix norms. The type of
norm to be calculated is specified by the optional string matrix, with a
defult of 1-norm.
"M"
or "m"
returns the absolute value of
the element with the largest magnitude in the matrix.
"1"
, "O"
or "o"
returns the 1-norm.
This is defined as the maximum absolute column sum.
"2"
returns the matrix 2-norm. This is the largest
singular value in the matrix argument.
"I"
or "i"
returns the infinity-norm. This
is defined as the maximum absolute row sum.
"F"
, "f"
, "E"
or "e"
returns the Frobenius norm. This is the square root of the
of the sum of squares of all the elements in the matrix
argument.
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