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221.
X. R. Ma 《Proceedings of the American Mathematical Society》2005,133(11):3179-3189
We present a necessary and sufficient condition for two matrices given by two bivariate functions to be inverse to each other with certainty in the cases of Krattenthaler formula and Warnaar's elliptic matrix inversion. Immediate consequences of our result are some known functions and a constructive approach to derive new matrix inversions from known ones.
222.
In this work,the well-known problem put forward by S N Bernstein in 1930 is studied in a deep step.An operator is constructed by revising double interpolation nodes.It is proved that the operator converges to arbitrary continuous functions uniformly and the convergence order is the best. 相似文献
223.
A new interface reconstruction method in 3D is presented. The method involves a conservative level‐contour reconstruction coupled to a cubic‐Bézier interpolation. The use of the proposed piecewise linear interface calculation (PLIC) reconstruction scheme coupled to a multidimensional time integration provides solutions of second‐order spatial and temporal accuracy. The accuracy and efficiency of the proposed reconstruction algorithm are demonstrated through several tests, whose results are compared with those obtained with other recently proposed methods. An overall improvement in accuracy with respect to other recent methods has been achieved, along with a substantial reduction in the central processing unit time required. Copyright © 2008 John Wiley & Sons, Ltd. 相似文献
224.
A new class of three-variable orthogonal polynomials and their recurrences relations 总被引:1,自引:0,他引:1
JiaChang Sun 《中国科学A辑(英文版)》2008,51(6):1071-1092
A new class of three-variable orthogonai polynomials,defined as eigenfunctions of a second order PDE operator,is studied.These polynomials are orthogonal over a curved tetrahedron region, which can be seen as a mapping from a traditional tetrahedron,and can be taken as an extension of the 2-D Steiner domain.The polynomials can be viewed as Jacobi polynomials on such a domain.Three- term relations are derived explicitly.The number of the individual terms,involved in the recurrences relations,are shown to be independent on the total degree of the polynomials.The numbers now are determined to be five and seven,with respect to two conjugate variables z,(?) and a real variable r, respectively.Three examples are discussed in details,which can be regarded as the analogues of the Chebyshev polynomials of the first and the second kinds,and Legendre polynomials. 相似文献
225.
BiNing HuangDaren 《高校应用数学学报(英文版)》2001,16(4):397-401
In this note, a criterion for orthonormality of refinable functions via characteristicpolynomial of a matrix is given. 相似文献
226.
O. S. Dragoshanskii 《Mathematical Notes》2000,67(5):582-595
In the paper new estimates of anisotropic norms for trigonometric polynomials are obtained.
Translated fromMatematischeskie Zametki, Vol. 67, No. 5, pp. 686–701, May, 2000. 相似文献
227.
A kind of generalization of the Curve Type Node Configuration is given in this paper,and it is called the generalized node configuration CTNCB in RS(S>2).The related multivariate polynomial interpolation problem is discussed.It is proved that the CTNCB is an appropriate node configuration for the polynomial space PSn (S>2).And the expressions of the multivariate Vandermonde determinants that are related to the Odd Curve Type Node Configuration in R2 are also obtained. 相似文献
228.
Alexander Kemer 《Algebras and Representation Theory》2001,4(1):87-104
We describe the multilinear components of the prime subvarieties of the variety Var(M
2(F)) generated by the matrix algebra of order 2 over a field of characteristic p>0. 相似文献
229.
Shi-ming Zheng 《计算数学(英文版)》2000,(3)
1. IntroductionLetbe a monic complex polynomial of degree n with zeros fi,'' 9 f.. Some authors havestudied the parallel iterations without evaluation of derivatives for simultaneous findingall zeros of f(t) (see [1]--[10]). The famous one is Weierstrass-Durand-Dochev-Kerneriterationwhere xo is the k-th approximation of (i(l 5 i 5 n) andwhich does not require any information of derivatives and was presented independentlyby Weierstrass[7], DurandlZ], Doche.[3] and Ke..e.14). It is well kno… 相似文献
230.
Envelopes of splines in the projective plane 总被引:2,自引:0,他引:2
In this paper a family of curvesRiemannian cubicsinthe unit sphere and the real projective plane is investigated.Riemannian cubics naturally arise as solutions to variationalproblems in Riemannian spaces. It is remarkable to find thatan envelope of lines generated by a Riemannian cubic in onespace is (nearly) a Riemannian cubic in another space. 相似文献