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Tom Bella 的论文(8) 排序方式:
Equivalence of Hadamard matrices and Pseudo-Noise matrices  
Several classes of structured matrices (e.g., the Hadamard-Sylvester matrices and the pseudo-noise matrices) are used in the design of error-correcting codes. In particular, the columns of matrices be......
1次引用 0 0
Ranks of Hadamard Matrices and Equivalence of Sylvester—Hadamard and Pseudo-Noise Matrices  
In this paper we obtain several results on the rank properties of Hadamard matrices (including Sylvester-Hadamard matrices) as well as generalized Hadamard matrices. These results are used to show tha......
 2007
1次引用 0 0
A Björck–Pereyra-type algorithm for Szegö–Vandermonde matrices based on properties of unitary Hessenberg matrices  
In this paper we carry over the Björck-Pereyra algorithm for solving Vandermonde linear systems to what we suggest to call Szegö-Vandermonde systems VΦ(x), i.e., polynomial-Vandermonde systems where t......
Linear Algebra and Its Applications  2007
0次引用 0 0
Fast inversion of Hessenberg-quasiseparable-Vandermonde ma- trices and resulting recurrence relations and characterizations  
0次引用 0 0
A Traub-like Algorithm for Hessenbergquasiseparable- Vandermonde Matrices of Arbitrary Order  
Although Gaussian elimination uses O(n 3) operations to invert an arbitrary matrix, matrices with a special Vandermonde structure can be inverted in only O(n 2) operations by the fast Traub algorithm......
0次引用 0 0
Classifications of Recurrence Relations via Subclasses of ( H , m )-quasiseparable Matrices  
The results on characterization of orthogonal polynomials and Szegö polynomials via tridiagonal matrices and unitary Hessenberg matrices, respectively, are classical. In a recent paper we observed th......
0次引用 0 0
Signal flow graph approach to inversion of ( H , m ) -quasiseparable-Vandermonde matrices and new filter structures  
We use the language of signal flow graph representation of digital filter structures to solve three purely mathematical problems, including fast inversion of certain polynomial-Vandermonde matrices,......
Linear Algebra and Its Applications  2010
0次引用 0 0
A QUASISEPARABLE APPROACH TO FIVE-DIAGONAL CMV AND COMPANION MATRICES  
Recent work in the characterization of structured matrices in terms of the sys- tems of polynomials (and specifically the recurrence relations they satisfy) related as characteristic polynomials of p......
0次引用 0 0

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