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检索条件"主题词=modified Chebyshev algorithm"
6 条 记 录,以下是1-10 订阅
Gauss quadrature routines for two classes of logarithmic weight functions
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NUMERICAL algorithmS 2010年 第2-3期55卷 265-277页
作者: Gautschi, Walter Purdue Univ Dept Comp Sci W Lafayette IN 47907 USA
By means of the Matlab symbolic/variable-precision facilities, routines are developed that generate an arbitrary number of recurrence coefficients to any given precision for polynomials orthogonal with respect to weig... 详细信息
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modified moments and matrix orthogonal polynomials
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ACTA APPLICANDAE MATHEMATICAE 2000年 第1-3期61卷 53-64页
作者: Bourreau, E Univ Lille 1 Lab ANO UFR IEEA F-59655 Villeneuve Dascq France
In the scalar case, computation of recurrence coefficients of polynomials orthogonal with respect to a nonnegative measure is done via the modified chebyshev algorithm. Using the concept of matrix biorthogonality, we ... 详细信息
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How to choose modified moments?
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JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS 1998年 第1期98卷 81-98页
作者: Beckermann, B Bourreau, E Univ Sci & Tech Lille Flandres Artois Lab Anal Numer & Optimisat UFR IEEA M3 F-59655 Villeneuve Dascq France
modified moments of a nonnegative measure determine uniquely the recurrence coefficients of the polynomials orthogonal with respect to the given nonnegative measure. The sensitivity of the underlying nonlinear maps wi... 详细信息
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HOW TO GENERATE UNKNOWN ORTHOGONAL POLYNOMIALS OUT OF KNOWN ORTHOGONAL POLYNOMIALS
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JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS 1992年 第1-2期43卷 99-115页
作者: FISCHER, B GOLUB, GH UNIV HAMBURG INST APPL MATHW-2000 HAMBURG 13GERMANY STANFORD UNIV DEPT COMP SCISTANFORDCA 94305
We consider the problem of generating the three-term recursion coefficients of orthogonal polynomials for a weight function v(t) = r(t)w(t), obtained by modifying a given weight function w by a rational function r. Al... 详细信息
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Nonsymmetric Lanczos and finding orthogonal polynomials associated with indefinite weights
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Numerical algorithms 1991年 第1期1卷 21-43页
作者: Boley, Daniel L. Elhay, Sylvan Golub, Gene H. Gutknecht, Martin H. Computer Science Department University of Minnesota Minneapolis 55455 MN United States Computer Science Department University of Adelaide Adelaide 5000 South Australia Australia Computer Science Department Stanford University Stanford 94305 CA United States Interdisciplinary Project Center for Supercomputing ETH Zurich ETH-Zentrum Zurich CH-8092 Switzerland
The nonsymmetric Lanczos algorithm reduces a general matrix to tridiagonal by generating two sequences of vectors which satisfy a mutual bi-orthogonality property. The process can proceed as long as the two vectors ge... 详细信息
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ON GENERATING ORTHOGONAL POLYNOMIALS
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SIAM JOURNAL ON SCIENTIFIC AND STATISTICAL COMPUTING 1982年 第3期3卷 289-317页
作者: GAUTSCHI, W
We consider the problem of numerically generating the recursion coefficients of orthogonal polynomials, given an arbitrary weight distribution of either discrete, continuous, or mixed type. We discuss two classical me... 详细信息
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