Results 1 to 10 of about 9,075 (140)
Planar interpolation by second order spiral splines [PDF]
MethodsX, 2020 Second order spiral splines are C2 unit-speed planar curves that can be used to interpolate a finite list of points in the Euclidean plane. A fast algorithm is given for interpolation when the data comes from a strictly convex planar curve.
Lyle Noakes
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Cyclic tridiagonal pairs, higher order Onsager algebras and orthogonal polynomials [PDF]
Linear Algebra and its Applications, 2016 The concept of cyclic tridiagonal pairs is introduced, and explicit examples are given. For a fairly general class of cyclic tridiagonal pairs with cyclicity N, we associate a pair of `divided polynomials'. The properties of this pair generalize the ones
Baseilhac, P. +2 more
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Diagonalization of the Heun-Askey-Wilson operator, Leonard pairs and the algebraic Bethe ansatz
Nuclear Physics B, 2019 An operator of Heun-Askey-Wilson type is diagonalized within the framework of the algebraic Bethe ansatz using the theory of Leonard pairs. For different specializations and the generic case, the corresponding eigenstates are constructed in the form of ...
Pascal Baseilhac, Rodrigo A. Pimenta
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The inverse eigenvector problem for real tridiagonal matrices [PDF]
, 2016 A little known property of a pair of eigenvectors (column and row) of a real tridiagonal matrix is presented. With its help we can define necessary and sufficient conditions for the unique real tridiagonal matrix for which an approximate pair of ...
Dopico, Froilán M. +2 more
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Special Matrices, 2019 Let F denote a field and let V denote a vector space over F with finite positive dimension. Consider a pair A, A* of diagonalizable F-linear maps on V, each of which acts on an eigenbasis for the other one in an irreducible tridiagonal fashion.
Nomura Kazumasa, Terwilliger Paul
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Large Deviations for Random Spectral Measures and Sum Rules [PDF]
, 2011 We prove a Large Deviation Principle for the random spec- tral measure associated to the pair $(H_N; e)$ where $H_N$ is sampled in the GUE(N) and e is a fixed unit vector (and more generally in the $\beta$- extension of this model).
Gamboa, Fabrice, Rouault, Alain
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A design procedure for overlapped guaranteed cost controllers [PDF]
, 2008 © 2008 the authors. This work has been accepted to IFAC for publication under a Creative Commons Licence CC-BY-NC-NDIn this paper a quadratic guaranteed cost control problem for a class of linear continuous-time state-delay systems with norm-bounded ...
Palacios Quiñonero, Francisco +2 more
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Equivalence of finite dimensional input-output models of solute transport and diffusion in geosciences [PDF]
, 2016 We show that for a large class of finite dimensional input-output positive systems that represent networks of transport and diffusion of solute in geological media, there exist equivalent multi-rate mass transfer and multiple interacting continua ...
Babey, Tristan +4 more
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Differential qd algorithm with shifts for rank-structured matrices [PDF]
, 2012 Although QR iterations dominate in eigenvalue computations, there are several important cases when alternative LR-type algorithms may be preferable.
Zhlobich, Pavel
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Affine transformations of a Leonard pair
, 2006 Let $K$ denote a field and let $V$ denote a vector space over $K$ with finite positive dimension. We consider an ordered pair of linear transformations $A : V \to V$ and $A^* : V \to V$ that satisfy (i) and (ii) below: (i) There exists a basis for $V ...
Nomura, Kazumasa, Terwilliger, Paul
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