Reference Guide

Full Command and Function Reference 3-73
Example: Find the polynomials for u, v, and c, where c is the greatest common divisor of a and b such that:
u x
2
1+( ) v x 1–( )+ c=
Command: EGCD(X^2+1,X-1)
Result: {2,1,-(X+1)}
See also: IEGCD, ABCUV
EGV
Type: Command
Description: Eigenvalues and Eigenvectors Command: Computes the eigenvalues and right eigenvectors for a
square matrix.
The resulting vector EVal contains the computed eigenvalues. The columns of matrix EVec
contain the right eigenvectors corresponding to the elements of vector EVal.
The computed results should minimize (within computational precision):
A
E
V
e
c
E
V
e
c
d
i
a
g
E
V
a
l
(
)
⋅
–
⋅
n A⋅
-------------------------------------------------------------------------------
where diag (EVal) denotes the n × n diagonal matrix containing the eigenvalues EVal.
Access: !Ø L EIGENVECTOR EGV ( Ø is the left-shift of the 5key).
!´ MATRIX L EGV ( ´ is the left-shift of the Pkey).
Input/Output:
Level 1/Argument 1 Level 2/Item 1 Level 1/Item 2
[[matrix ]]
A
→
[[matrix ]]
EVec
[vector ]
EVal
See also: EGVL
EGVL
Type: Command
Description: Eigenvalues Command: Computes the eigenvalues of a square matrix.
The resulting vector L contains the computed eigenvalues.
Access: !Ø L EIGENVECTOR EGVL ( Ø is the left-shift of the 5key).
!´ MATRIX L EGVL ( ´ is the left-shift of the Pkey).
Input/Output:
Level 1/Argument 1 Level 1/Item 1
[[matrix ]]
A
→
[vector ]
EVal
See also: EGV
ELSE
Type: Command
Description: ELSE Command: Starts false clause in conditional or error-trapping structure.
See the IF and IFERR keyword entries for more information.
Access: !° BRANCH IF ELSE ( °is the left-shift of the Nkey).
Input/Output: None
See also: IF, CASE, DO, ELSE, IFERR, REPEAT, THEN, UNTIL, WHILE
END
Type: Command
Description: END Command: Ends conditional, error-trapping, and indefinite loop structures.