منابع مشابه
A note on inversion of Toeplitz matrices
It is shown that the invertibility of a Toeplitz matrix can be determined through the solvability of two standard equations. The inverse matrix can be denoted as a sum of products of circulant matrices and upper triangular Toeplitz matrices. The stability of the inversion formula for a Toeplitz matrix is also considered. c © 2007 Elsevier Ltd. All rights reserved.
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Simplified solutions to determine binary elements by astrometry were obtained in terms of elementary functions (Asada et al. 2004), and therefore require neither iterative nor numerical methods. In the framework of the simplified solution, this paper discusses the remaining two parameters of the time of periastron passage and the longitude of ascending node in order to complete the solution. We...
متن کاملA Note on Zador’s Formula
An explicit version of Zador’s high-rate formula for the mean squared error of a vector quantizer is given for the case when the quantizing regions form a periodic tiling of Rn , such as that formed by the Voronoi cells for a union of a finite number of translates of a lattice. The formula is different from one in a recent paper in the literature.
متن کاملA Fredholm determinant formula for Toeplitz determinants
as the Fredholm determinant of an operator 1−K acting on l2({n, n+1, . . . }), where the kernel K = K(φ) admits an integral representation in terms of φ. The answer is affirmative and the construction of the kernel is explained below. We give two versions of the result: an algebraic one, which holds in the suitable algebra of formal power series, and an analytic one. In order to minimize the am...
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The Fibonacci cobweb poset P has been introduced by A.K.Kwaśniewski in [3, 4] for the purpose of finding combinatorial interpretation of fibonomial coefficients and their reccurence relation. At first the partially ordered set P (Fibonacci cobweb poset) was defined via its Hasse diagram as follows: It looks like famous rabbits grown tree but it has the specific cobweb in addition, i.e. it consi...
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ژورنال
عنوان ژورنال: Linear Algebra and its Applications
سال: 1990
ISSN: 0024-3795
DOI: 10.1016/0024-3795(90)90297-p