Results 1 to 10 of about 843,104 (244)
Krylov complexity and orthogonal polynomials [PDF]
Nuclear Physics B, 2022 Krylov complexity measures operator growth with respect to a basis, which is adapted to the Heisenberg time evolution. The construction of that basis relies on the Lanczos algorithm, also known as the recursion method.
Wolfgang Mück, Yi Yang
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On Sobolev orthogonal polynomials [PDF]
Expositiones Mathematicae, 2014 Sobolev orthogonal polynomials have been studied extensively in the past 20 years. The research in this field has sprawled into several directions and generates a plethora of publications. This paper contains a survey of the main developments up to now.
F. Marcellán, Yuan Xu
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NIST Handbook of Mathematical Functions, 2005 In this survey, different aspects of the theory of orthogonal polynomials of one (real or complex) variable are reviewed. Orthogonal polynomials on the unit circle are not discussed.
T. Koornwinder +3 more
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On Orthogonal Polynomials [PDF]
Transactions of the American Mathematical Society, 1931 J. Geronimus
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The Condition of Orthogonal Polynomials [PDF]
Mathematics of Computation, 1972 An estimate is given for the condition number of the coordinate map associating to each polynomial its coefficients with respect to a system of orthogonal polynomials.
Walter Gautschi
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On orthogonal polynomials [PDF]
Proceedings of the American Mathematical Society, 1961 Burton Wendroff
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Partially-Orthogonal Polynomials [PDF]
Proceedings of the American Mathematical Society, 1972 This paper contains a discussion of partiallyorthogonal polynomials. This is an extension of the concept of quasi-orthogonal polynomials. Some relationships between various partially-orthogonal polynomials are obtained. The concept of pseudo-polynomials is defined and used as an example of partially-orthogonal polynomials. Polynomials obtained from the
Paul P. Rowe
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Multiple orthogonal polynomials: Pearson equations and Christoffel formulas [PDF]
Analysis and Mathematical Physics, 2021 Multiple orthogonal polynomials with respect to two weights on the step-line are considered. A connection between different dual spectral matrices, one banded (recursion matrix) and one Hessenberg, respectively, and the Gauss–Borel factorization of the ...
A. Branquinho +2 more
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A characterization of orthogonal polynomials
Journal of Mathematical Analysis and Applications, 1964 H. L. Krall, I. M. Sheffer
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