Title :
The inversion of the Vandermonde matrix and transformation to the Jordan canonical form
Author_Institution :
University of Waterloo, Waterloo, Ontario, Canada
fDate :
12/1/1969 12:00:00 AM
Abstract :
Simple analytical relations are given for the inverse of the Vandermonde matrix as well as for the inverse of its confluent form. These relations, when used according to a suggested procedures allow one to compute the desired inverse matrices efficiently and accurately.
Keywords :
Matrix inversion; Vandermonde matrices; Control theory; Error analysis; Gyroscopes; Interpolation; Lagrangian functions; Linear regression; Measurement errors; Neck; Numerical analysis; Vectors;
Journal_Title :
Automatic Control, IEEE Transactions on
DOI :
10.1109/TAC.1969.1099332
