Add to ORKGLower bounds on the condition number κp(Vc) of a real confluent Vandermonde matrix Vc are established in terms of the dimension n or n and the largest absolute value among all nodes that define the confluent Vandermonde matrix or n and the interval that contains the nodes. In particular, it is proved that for any modest kmax (the largest number of equal nodes), κp(Vc) behaves no smaller than On((1 + √ 2) n), and than On((1 + √ 2) 2n) if all nodes are nonnegative. It is not clear whether those bounds are asymptotically sharp for modest kmax
A confluent Vandermonde-like matrix $P(\alpha _0 ,\alpha _1 , \cdots ,\alpha _n )$ is a generalisati...
Abstract—This paper examines various statistical distributions in connection with randomN×N Vandermo...
AbstractThe rigidity function RA(r) of a matrix A is the minimum number of entries of A that must be...
Submitted by V. Mehrmann For an N × N Vandermonde matrix VN = (αi−1j)1ijN with translated Chebyshev ...
AbstractFor an N×N Vandermonde matrix VN=(αji-1)1⩽ij⩽N with translated Chebyshev zero nodes, it is d...
Supported,in part, by the National Science Foundation under grant CCR-8704404SIGLEITItal
(eng) In this paper, we first show that a confluent Vandermonde matrix may be viewed as composed of ...
In this paper, we first show that a confluent Vandermonde matrix may be viewed as composed of some r...
AbstractThe condition number (relative to the Frobenius norm) of the n × n matrix Pn = [pi−1(xj)]i, ...
In this paper, we first show that a confluent Vandermonde matrix may be viewed as composed of some r...
In this work we examine the behavior of the minimum singular value of random Vandermonde matrices. I...
An approach to define a reciprocal Abstract: The Vandermonde-matrix plays a special rôle in this col...
We analyze the componentwise and normwise sensitivity of inverses of Cauchy, Vandermonde, and Cauchy...
Abstract. This work examines various statistical distributions in connection with random Vander-mond...
Plus an approach to define a reciprocal Abstract: The Vandermonde-matrix plays a special rôle in thi...
A confluent Vandermonde-like matrix $P(\alpha _0 ,\alpha _1 , \cdots ,\alpha _n )$ is a generalisati...
Abstract—This paper examines various statistical distributions in connection with randomN×N Vandermo...
AbstractThe rigidity function RA(r) of a matrix A is the minimum number of entries of A that must be...
Submitted by V. Mehrmann For an N × N Vandermonde matrix VN = (αi−1j)1ijN with translated Chebyshev ...
AbstractFor an N×N Vandermonde matrix VN=(αji-1)1⩽ij⩽N with translated Chebyshev zero nodes, it is d...
Supported,in part, by the National Science Foundation under grant CCR-8704404SIGLEITItal
(eng) In this paper, we first show that a confluent Vandermonde matrix may be viewed as composed of ...
In this paper, we first show that a confluent Vandermonde matrix may be viewed as composed of some r...
AbstractThe condition number (relative to the Frobenius norm) of the n × n matrix Pn = [pi−1(xj)]i, ...
In this paper, we first show that a confluent Vandermonde matrix may be viewed as composed of some r...
In this work we examine the behavior of the minimum singular value of random Vandermonde matrices. I...
An approach to define a reciprocal Abstract: The Vandermonde-matrix plays a special rôle in this col...
We analyze the componentwise and normwise sensitivity of inverses of Cauchy, Vandermonde, and Cauchy...
Abstract. This work examines various statistical distributions in connection with random Vander-mond...
Plus an approach to define a reciprocal Abstract: The Vandermonde-matrix plays a special rôle in thi...
A confluent Vandermonde-like matrix $P(\alpha _0 ,\alpha _1 , \cdots ,\alpha _n )$ is a generalisati...
Abstract—This paper examines various statistical distributions in connection with randomN×N Vandermo...
AbstractThe rigidity function RA(r) of a matrix A is the minimum number of entries of A that must be...