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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. ROwrISeigenvectors
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