Reference Guide
3-244 Full Command and Function Reference
Input: Level 2/Argument 1: The object or number to be subtracted from.
Level 1/Argument 2: The object or number to subtract.
Output: The result of the subtraction, modulo the current modulus.
Flags: Exact mode must be set (flag –105 clear).
Numeric mode must not be set (flag –3 clear).
Radians mode must be set (flag –17 set).
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
i
a
g
S
(
)
V
⋅
⋅
min m n,( ) 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
L
SVL
(Ø is the left-shift of the 5key).
!´
MATRIX FACTORS
L
SVL
( ´ is the left-shift of the Pkey).
Input/Output:
Level 1/Argument 1 Level 1/Item 1
[[ matrix ]]
→
[ vector ]
See also: MIN, SVD
SWAP
Type: RPL Command
Description: Swap Objects Command: Swaps the position of the two inputs.
Access: !°
STACK SWAP
( °is the left-shift of the Nkey).
™ in RPN mode executes SWAP when no command line is present.
Input/Output:
Level 2 Level 1 Level 2 Level 1
obj
1
obj
2
→
obj
2
obj
1