Jordan, Lagrange – HP 49g Graphing Calculator User Manual
Page 159
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Flags:
Exact mode must be set (flag -105 clear).
Numeric mode must not be set (flag -03 clear).
See also:
NEXTPRIME
PREVPRIME
JORDAN
Type:
Command
Description:
Computes the eigenvalues, eigenvectors, minimum
polynomial, and characteristic polynomial of a matrix.
Access:
Matrices.
RO
wr
IS
eigenvectors
Input:
An n X n matrix.
Output:
Level 4/Item 1: The minimiun polynomial.
Level 3/Item 2: The characteristic polynomial.
Level 2/Item 3: A list of characteristic spaces tagged by
the corresponding eigenvalue (either a vector or a list of
Jordan chains, each of them ending with an "Eigen:"-
tagged eigenvector).
Level 1/Item 4: An array of the eigenvalues, with
multiplicities
Flags:
Exact mode must be set (flag -105 clear).
Numeric mode must not be set (flag -03 clear).
LAGRANGE
Type:
Command
Description:
Returns the interpolating polynomial of minimum
degree for a pair of values.
Access:
Arithmetic,
0®H)
polynomial
Input:
A two X n matrix of the n pairs of values.
Output:
The polynomial that results from the Lagrange
interpolation of the data.
Flags:
Exact mode must be set (flag -105 clear).
Nmneric mode must not be set (flag -03 clear).
Example:
Find an intei*polating polynomial for the data (1,6), (3,7),
(4,8), (2,9)
Page 14-36
Computer Algebra Commands