Example:

Find the polynomials for u, v, and c, where c is the greatest common divisor of a and b such that:

 

u( x2 + 1) + v( x – 1) = c

Command:

EGCD(X^2+1,X-1)

Result:

{2,1,-(X+1)}

See also:

IEGCD, ABCUV

EGV

Command

Type:

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 EVec EVec diag( EVal)

 

 

 

 

 

 

 

------------------------------------------------------------------------------

 

 

 

 

n A

where diag (EVal) denotes the n × n diagonal matrix containing the eigenvalues EVal.

Access:

!Ø LEIGENVECTOR EGV

 

( Ø is the leftshift of the

5key).

 

MATRIX LEGV

 

( ´is the leftshift 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

Command

 

 

 

 

Type:

 

 

 

 

Description:

Eigenvalues Command: Computes the eigenvalues of a square matrix.

 

 

 

The resulting vector L contains the computed eigenvalues.

 

 

Access:

!Ø LEIGENVECTOR EGVL

 

( Ø is the leftshift of the

5key).

 

MATRIX LEGVL

 

( ´is the leftshift of the

Pkey).

Input/Output:

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

Level 1/Argument 1

Level 1/Item 1

 

 

 

 

 

 

 

 

 

 

[[matrix ]]A

 

[vector ]EVal

See also:

EGV

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

ELSE

Command

 

 

 

 

Type:

 

 

 

 

Description:

ELSE Command: Starts false clause in conditional or errortrapping structure.

 

See the IF and IFERR keyword entries for more information.

 

 

Access:

BRANCH IF ELSE

 

( °is the leftshift of the

Nkey).

Input/Output:

None

 

 

 

 

See also:

IF, CASE, DO, ELSE, IFERR, REPEAT, THEN, UNTIL, WHILE

 

 

 

 

 

 

 

 

 

 

END

Command

 

 

 

 

Type:

 

 

 

 

Description:

END Command: Ends conditional, errortrapping, and indefinite loop structures.

Full Command and Function Reference 373

Page 193
Image 193
HP 48gII Graphing, 50g Graphing manual Egvl, Else, End, Matrix EVec Vector EVal