32 TI-Nspire™ Reference Guide
eff()
Catalog
>
eff(nominalRate,CpY) ⇒ value
Financial function that converts the nominal interest rate
nominalRate to an annual effective rate, given CpY as the number of
compounding periods per year.
nominalRate must be a real number, and CpY must be a real number
> 0.
Note: See also nom(), page 68.
eigVc()
Catalog
>
eigVc(squareMatrix) ⇒ matrix
Returns a matrix containing the eigenvectors for a real or complex
squareMatrix, where each column in the result corresponds to an
eigenvalue. Note that an eigenvector is not unique; it may be scaled
by any constant factor. The eigenvectors are normalized, meaning
that if V = [x
1
, x
2
, … , x
n
], then:
x
1
2
+x
2
2
+ … + x
n
2
= 1
squareMatrix is first balanced with similarity transformations until
the row and column norms are as close to the same value as possible.
The squareMatrix is then reduced to upper Hessenberg form and the
eigenvectors are computed via a Schur factorization.
In Rectangular Complex Format:
To see the entire result, press £ and then use ¡ and ¢ to
move the cursor.
eigVl()
Catalog
>
eigVl(squareMatrix) ⇒ list
Returns a list of the eigenvalues of a real or complex squareMatrix.
squareMatrix is first balanced with similarity transformations until
the row and column norms are as close to the same value as possible.
The squareMatrix is then reduced to upper Hessenberg form and the
eigenvalues are computed from the upper Hessenberg matrix.
In Rectangular complex format mode:
To see the entire result, press £ and then use ¡ and ¢ to
move the cursor.
Else See If, page
45
.
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