B. Fischer and G.H. Golub, How to generate unknown orthogonal polynomials out of known orthogonal polynomials , J. Comput. Appl. Math., 43 (1992), 99–115. MathSciNet MATHHow to generate unknown orthogonal polynomials out of known orthogonal polynomials - Fischer, Golub - 1992 () Citation...
Do the polynomials {eq}x^3 + 2x, x^2 + x + 1,\ and\ x^3 + 5 {/eq} generate (span) {eq}P_3 {/eq}? Justify your answer. Independent and Spanning Sets in a Vector Space: Suppose that {eq}V {/eq} is a vector space and {...
A program in the symbolic manipulation language Maple has been developed for generating orthonormal polynomials over (1, 1) with the weight function w ( x , k ) = x k , for even k . The program also (i) finds the roots of these polynomials and (ii) expands a test...
T.A. Newton. On using a differential equation to generate polynomials. Amer. Math. Monthly 81, 1974, 592-601.T. A. Newton. Am. Math. Monthly 81, 592 (1974). MATHT. A. NEWTON,On using a differential equation to generate polynomials, Amer. Mad Monfhly 81 (1974), 592-601....
Generate a Basis Matrix of PolynomialsAntonio Gasparrini
Golub. How to generate unknown orthogonal polynomials out of known orthogonal polynomials. J. Comp. Appl. Math., 43:99{115, 1992.B. Fischer and G. H. Golub. How to generate unknown orthogonal poly- nomials out of known orthogonal polynomials. J. of Comput. and Appl. Math., 43:99 ...
The traditional algorithm for generating such symmetric polynomials has a factorial time complexity of N!, where N is the number of identical atoms, posing a significant challenge to applying symmetric polynomials as descriptors of NN PESs for larger systems, particularly with more than 10 atoms. ...
A Monoparametric Family of Piecewise Linear Systems to Generate Scroll Attractors via Path-Connected Set of PolynomialsMonoparametric familypiecewise linear controlunstable dissipative systemchaosIn this work, we present a monoparametric family of piecewise linear systems to generate multiscroll attractors ...
A Monoparametric Family of Piecewise Linear Systems to Generate Scroll Attractors via Path-Connected Set of PolynomialsMonoparametric familypiecewise linear controlunstable dissipative systemchaosIn this work, we present a monoparametric family of piecewise linear systems to generate multis...
If PP(Zn) is the set of the linear-bivariate polynomials that generate the quasigroups that are the parastro- phes of the quasigroup generated by P(x, y), then it is shown that (Pp (Zn), *) < (Hp(Zn), *). The group PP (Zn) is found to be isomorphic to the symmetric group...