HP 50g Graphing Calculator - Manual (Page 335)

Page 11-8
Function ABS
Function ABS calculates what is known as the Frobenius norm of a matrix. For a
matrix A = [a
ij
]
m ×n
, the Frobenius norm of the matrix is defined as
If the matrix under consideration in a row vector or a column vector, then the
Frobenius norm , ||A||
F
, is simply the vector’s magnitude. Function ABS is
accessible directly in the keyboard as „Ê.
Try the following exercises in ALG mode (using the matrices stored earlier for
matrix operations):
Function SNRM
Function SNRM calculates the Spectral NoRM of a matrix, which is defined as
the matrix’s largest singular value, also known as the Euclidean norm of the
matrix. For example,
∑∑
= =
=
n
i
m
j
ij F
a A
1 1
2