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Full-Text Articles in Physical Sciences and Mathematics
Convergence Of The Two-Point Modulus-Based Matrix Splitting Iteration Method, Ximing Fang, Ze Gu, Zhijun Qiao
Convergence Of The Two-Point Modulus-Based Matrix Splitting Iteration Method, Ximing Fang, Ze Gu, Zhijun Qiao
School of Mathematical and Statistical Sciences Faculty Publications and Presentations
In this paper, we discuss the convergence of the two-point modulus-based matrix splitting iteration method for solving the linear complementarity problem. Some convergence conditions are presented from the spectral radius and the matrix norm when the system matrix is a -matrix. Besides, the quasi-optimal cases of the method are studied. Numerical experiments are provided to show the presented results.
Properties Of A Class Of Mean Dependent On A Parameter, Paul Bracken
Properties Of A Class Of Mean Dependent On A Parameter, Paul Bracken
School of Mathematical and Statistical Sciences Faculty Publications and Presentations
Some properties of a new class of binary symmetric mean Mp(a,b) which depends on two positive numbers a and b, as well as a positive parameter p, are investigated. The logarithmic mean and arithmetic mean are two members of this class. It is shown that, for all values of the parameter p, the set of p-dependent means Mp(a,b) is bounded above by the mean M∞(a,b).
On A Class Of Parameter Dependent Series Generalizing Euler’S Constant, Paul Bracken
On A Class Of Parameter Dependent Series Generalizing Euler’S Constant, Paul Bracken
School of Mathematical and Statistical Sciences Faculty Publications and Presentations
Series which depend on a parameter and generalize the constant discovered by Euler are introduced and studied. Convergence results are established. An infinite series expansion is obtained from these generalized formulas which can be used to evaluate the generalized constant. Euler’s constant can be obtained as a special case. Some asymptotic results are formulated and limits of some closely related sequences are given.
A Class Of Transformations Of A Quadratic Integral Generating Dynamical Systems, Paul Bracken
A Class Of Transformations Of A Quadratic Integral Generating Dynamical Systems, Paul Bracken
School of Mathematical and Statistical Sciences Faculty Publications and Presentations
A class of transformation is investigated which maps a quadratic integral back to its original form but under a redefinition of free parameters. When this process is iterated, a dynamical system is generated in the form of recursive sequences which involve the parameters of the integrand.
The creation of this dynamical system and some of its convergence properties are investigated.