Results 1 to 10 of about 255 (142)
Laguerre's Method Applied to the Matrix Eigenvalue Problem [PDF]
Mathematics of Computation, 1964 1. Introduction. We present a new algorithm for the calculation of the eigenvalues of real square matrices of orders up to 100. The basic method is directly applicable to complex matrices as well and, in both cases, with each eigenvalue X of A a vector v is produced for which (A - XI)v is null except for a small last element.
Beresford Ν. Parlett
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Comparing parallel Newton's method with parallel Laguerre's method
Computers & Mathematics with Applications, 1976 AbstractNewton's and Laguerre's methods can be used to concurrently refine all separated zeros of a polynomial P(z). This paper analyses the rate convergence of both procedures, and its implication on the attainable number n of correct figures. In two special cases the number m of iterations required to reach an accuracy η = 10−n is shown to grow as ...
Irene Gargantini
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ABOUT THE PRODUCTION OF THE CONTINUOUS X-RAY SPECTRUM. [PDF]
Proc Natl Acad Sci U S A, 1929 I propose, therefore, to generalize my previous assumption so as to admit secondary beams to emerge from the scattering atom in all directions. This amounts to an averaging of the matrix elements defined in my former note over all possible directions ...
Sommerfeld A.
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Laguerre-Intersection Method for Implicit Solvation [PDF]
International Journal of Computational Geometry & Applications, 2018 Explicit solvent molecular dynamics simulations of a macromolecule are slow as the number of solvent atoms considered typically increases by order of magnitude. Implicit methods introduce surface-dependent corrections to the force field, gaining speed at the expense of accuracy. Properties such as molecular interface surfaces, volumes and cavities are
Michelle Hatch Hummel +3 more
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Nonlinear edge waves and shallow-water theory [PDF]
, 1976 Nonlinear effects are considered for shallow-water edge waves on beaches with a general depth distribution. The case of uniform depth away from the shoreline is considered in detail. It is shown that the results obtained are in qualitative agreement with
Minzoni, A. A.
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COMPOSITE LAGUERRE PSEUDOSPECTRAL METHOD FOR FOKKER-PLANCK EQUATIONS
Mathematical Modelling and Analysis, 2023 A composite generalized Laguerre pseudospectral method for the nonlinear Fokker-Planck equations on the whole line is developed. Some composite generalized Laguerre interpolation approximation results are established. As an application, a composite Laguerre pseudospectral scheme is provided for the problems of the relaxation of fermion and boson gases.
Chuan Wang, Tianjun Wang, Youlin Shang
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Laguerre-like methods for the simultaneous approximation of polynomial multiple zeros [PDF]
, 2006 Two new methods of the fourth order for the simultaneous determination of multiple zeros of a polynomial are proposed. The presented methods are based on the fixed point relation of Laguerre's type and realized in ordinary complex arithmetic as well as ...
Milošević Dušan +2 more
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Generalization of the Analytical Exponential Model for Homogeneous Reactor Kinetics Equations
Journal of Applied Mathematics, 2012 Mathematical form for two energy groups of three-dimensional homogeneous reactor kinetics equations and average one group of the precursor concentration of delayed neutrons is presented.
Abdallah A. Nahla, Mohammed F. Al-Ghamdi
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Airborne ultrasonic vortex generation using flexible ferroelectrets [PDF]
, 2011 Cellular ferroelectrets exhibit interesting electromechanical- acoustical characteristics. Their recent appearance and remarkable properties open up new possibilities for the design and development of ultrasonic transducers.
F. Seco +5 more
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Mean summability methods for Laguerre series [PDF]
Transactions of the American Mathematical Society, 1990 We apply a construction of generalized convolution in \[ L 1 ( R + × R , x 2 α − 1
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