Generalized cauchy-vandermonde matrices
نویسندگان
چکیده
منابع مشابه
A Generalized Vandermonde Determinant
Interpolation theory suggests a generalization of the usual Vandermonde determinant to numbers with multiplicities. We prove a discriminant formula for this generalized Vandermonde determinant and give an application to the Hermite interpolation problem.
متن کاملSpi 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 structur...
متن کاملThe Generalized Vandermonde Matrix
Your use of the JSTOR archive indicates your acceptance of JSTOR's Terms and Conditions of Use, available at http://www.jstor.org/about/terms.html. JSTOR's Terms and Conditions of Use provides, in part, that unless you have obtained prior permission, you may not download an entire issue of a journal or multiple copies of articles, and you may use content in the JSTOR archive only for your perso...
متن کاملVandermonde Matrices with Chebyshev Nodes
For n × n Vandermonde matrix Vn = (αi−1 j )1≤i j≤n with translated Chebyshev zero nodes, it is discovered that V T n admits an explicit QR decomposition with the R-factor consisting of the coefficients of the translated Chebyshev polynomials of degree less than n. This decomposition then leads to an exact expression for the condition number of its submatrix Vk,n = (αi−1 j )1≤i≤k,1≤j≤n (so-calle...
متن کاملPattern statistics and Vandermonde matrices
In this paper, we determine some limit distributions of pattern statistics in rational stochastic models. We present a general approach to analyze these statistics in rational models having an arbitrary number of strongly connected components. We explicitly establish the limit distributions in most significant cases; they are characterized by a family of unimodal density functions defined by me...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Linear Algebra and its Applications
سال: 1998
ISSN: 0024-3795
DOI: 10.1016/s0024-3795(97)00034-7