# Journal of Applied Mathematics and Computing

Journal of Applied Mathematics and Computing > 2008 > 26 > 1-2 > 325-332

*q*-Genocchi polynomials,

*G*

_{ n,q }(

*x*). Next we display the shape of

*q*-Genocchi polynomials. Finally, we investigate the zeros of the

*q*-Genocchi polynomials.

Journal of Applied Mathematics and Computing > 2008 > 26 > 1-2 > 503-515

*f*:

*I*

^{2}→

*I*is a function on a bounded subset

*I*of

*R*and

*m*,

*n*∈

*N*

_{0}={0,1,2,…}. A new and illustrative example, different from the coupled map lattice, is shown for such a system to be chaotic in the sense of Li-Yorke.

Journal of Applied Mathematics and Computing > 2008 > 26 > 1-2 > 201-218

*n*×

*n*fuzzy linear systems and the corresponding convergence theorems are also given out. We know that the coefficient matrix

*S*of the augmented system

*SX*=

*Y*is consistently ordered when

*S*

_{1}is nonsingular, and in this case the optimal parameter

*ω*of the block SOR method is obtained. Numerical examples are presented to illustrate the theory...

Journal of Applied Mathematics and Computing > 2008 > 26 > 1-2 > 545-553

Journal of Applied Mathematics and Computing > 2008 > 26 > 1-2 > 313-323

Journal of Applied Mathematics and Computing > 2008 > 26 > 1-2 > 367-379

Journal of Applied Mathematics and Computing > 2008 > 26 > 1-2 > 489-502

Journal of Applied Mathematics and Computing > 2008 > 26 > 1-2 > 169-182

*G*is called

*n*-decomposable if every proper non-trivial normal subgroup of

*G*is a union of

*n*distinct conjugacy classes of

*G*. In some research papers, the question of finding all positive integer

*n*such that there is an

*n*-decomposable finite group was posed. In this paper, we investigate the structure of 9- and 10-decomposable non-perfect finite groups. We prove that a non-perfect...

Journal of Applied Mathematics and Computing > 2008 > 26 > 1-2 > 247-262

Journal of Applied Mathematics and Computing > 2008 > 26 > 1-2 > 517-533

*W*-weighted Drazin inverse of a matrix

*A*−

*CWB*have been developed under some conditions where

*A*,

*B*,

*C*∈ℂ

^{ m×n }, and

*W*∈ℂ

^{ n×m }. The results of this paper not only extend the earlier works about the Drazin inverse and group inverse, but also weaken the assumed condition of a result of the Drazin inverse to the case where Γ

_{ d }

*ZZ*

_{ g }=

*ZZ*

_{ g }Γ

_{ d }is substituted with

*C*(Γ

_{ d }

*ZZ*

_{ g }...

Journal of Applied Mathematics and Computing > 2008 > 26 > 1-2 > 151-168

*γ*/2, we give the parameterization of the associated multifilter banks, whether

*γ*is odd or even. When

*γ*is odd, we obtain the similar results to Jiang’s, for the case that

*γ*is even, we transform the parameterization of the multifilter banks into the one of the case that

*γ*is odd, then by the previous results and inverse transforms,...

Journal of Applied Mathematics and Computing > 2008 > 26 > 1-2 > 105-124

Journal of Applied Mathematics and Computing > 2008 > 26 > 1-2 > 233-246

Journal of Applied Mathematics and Computing > 2008 > 26 > 1-2 > 381-396

Journal of Applied Mathematics and Computing > 2008 > 26 > 1-2 > 433-450

Journal of Applied Mathematics and Computing > 2008 > 26 > 1-2 > 281-293

Journal of Applied Mathematics and Computing > 2008 > 26 > 1-2 > 333-340

Journal of Applied Mathematics and Computing > 2008 > 26 > 1-2 > 1-48

*a*is an operator in a Hilbert space

*H*, i.e.,

*a*:

*H*→

*H*which maps a (closed) subspace in

*H*isometrically onto a generally...

Journal of Applied Mathematics and Computing > 2008 > 26 > 1-2 > 85-103

Journal of Applied Mathematics and Computing > 2008 > 26 > 1-2 > 295-311