Spi Connuent Vandermonde Matrices Using Sylvester's Structures Connuent Vandermonde Matrices Using Sylvester's Structures

In this paper we rst show that a con uent Vandermonde matrix may be viewed as composed of some rows of a certain block Vandermonde matrix As a result we derive a Sylvester s structure for this class of matrices that ap pears as a natural generalization of the straightforward one known for usual Vandermonde matrices Then we present some applications as an illustration of the established structure For example we show how con uent Vandermonde and Hankel matrices are linked with each other and also we describe an O n algorithm for solving con uent Vandermonde least squares minimizations prob lems