HP 48GII

3-178 Full Command and Function Reference
Input/Output:
Level 3/Argument 1 Level 2/Argument 2 Level 1/Argument 3 Level 1/Item 1
[[ matrix ]]
1
n
startposition
n
endposition
→
[[ matrix ]]
2
[[ matrix ]]
1
{n
row
, n
column
} n
endposition
→
[[ matrix ]]
2
[[ matrix ]]
1
n
startposition
{n
row
,, n
column
}
→
[[ matrix ]]
2
[[ matrix ]]
1
{n
row
, n
column
} {n
row
,, n
column
}
→
[[ matrix ]]
2
“string
target
” n
startposition
n
endposition
→
“string
result
”
{ list
target
} n
startposition
n
endposition
→
{ list
result
}
grob
target
{ #n
1
, #m
1
} { #n
2
#m
2
}
→
grob
result
grob
target
( x
1
, y
1
) ( x
2
, y
2
)
→
grob
result
PICT { #n
1
, #m
1
} { #n
2
#m
2
}
→
grob
result
PICT ( x
1
, y
1
) ( x
2
, y
2
)
→
grob
result
See also: CHR, GOR, GXOR, NUM, POS, REPL, SIZE
SUBST
CAS: Substitute a value for a variable in an expression; the value can be numeric or an expression.
SUBTMOD
CAS: Perform a subtraction, modulo the current modulus.
SVD
Type: Command
Description: Singular Value Decomposition Command: Returns the singular value decomposition of an m × n
matrix.
SVD decomposes A into 2 matrices and a vector. U is an m × m orthogonal matrix, V is an n × n
orthogonal matrix, and S is a real vector, such that A = U × diag(S) × V . S has length MIN(m,n)
and contains the singular values of A in nonincreasing order. The matrix diag(S) is an m×n
diagonal matrix containing the singular values S.
The computed results should minimize (within computational precision):
A
U
–
d
iag
S
()
V
⋅⋅
min mn,()A⋅
---------------------------------------------------
where diag(S) denotes the m × n diagonal matrix containing the singular values S.
Access: !Ø FACTORIZATION SVD (Ø is the left-shift of the 5key).
!´
MATRIX FACTORS SVD ( ´ is the left-shift of the Pkey).
Input/Output:
Level 1/Argument 1 Level 3/Item 1 Level 2/Item 2 Level 1/Item 3
[[ matrix ]]
A
→
[[ matrix ]]
U
[[ matrix ]]
V
[ vector ]
S
See also: DIAG→, MIN, SVL
SVL
Type: Command
Description: Singular Values Command: Returns the singular values of an m × n matrix.
SLV returns a real vector that contains the singular values of an m × n matrix in non-increasing
order. The vector has length MIN(m,n).
Access: !Ø
FACTORIZATION LSVL (Ø is the left-shift of the 5key).
!´
MATRIX FACTORS LSVL ( ´ is the left-shift of the Pkey).