Abstract: This paper proposed a new type of converter called Single Phase Switched Inductor Z-source Matrix Converter (SLMC). It is an ac-to-ac converter with diode bridge bidirectional switch cell. The limitations of existing matrix converter like voltage regulation and quality output issues are overcome in the proposed SLMC by adding the switched inductance. The simulation is performed for di...

In this paper, a new structure for buck-boost Z-source converter based on Z-H topology is proposed. The proposed converter consists of two LC networks similar to the conventional Z-source and Z-H converters. One of the characteristics of the proposed structure is that, without any changing in its’ power circuit, it can be used in different conversions such as dc/dc, dc/ac and ac/ac. This unique...

An integral representation of SL(2,Z) on the space of sequences of rational numbers is constructed, such that the coefficient sequences of convergent ordinary Dirichlet series form an invariant subspace, on which the standard unipotent element acts as multiplication by the Riemann zeta function.

Introduction This paper is a continuation of [EK3]. In [EK3], we introduced the Hopf algebra F (R) z associated to a quantum R-matrix R(z) with a spectral parameter defined on a 1-dimensional connected algebraic group Σ, and a set of points z = (z 1 , ..., z n) ∈ Σ n. This algebra is generated by entries of a matrix power series T i subject to Faddeev-Reshetikhin-Takhtajan type commutation rela...

In this paper, we present the preconditioned mixed-type splitting iterative method for solving the linear systems, Ax = b, where A is a Z-matrix. And we give some comparison theorems to show that the convergence rate of the preconditioned mixed-type splitting iterative method is faster than that of the mixed-type splitting iterative method. Finally, we give a numerical example to illustrate our...

the stolt (f-k) migration algorithm is a direct (i.e. non-recursive) fourier-domain technique based on a change of variables (or equivalently, a mapping) that converts the input spectrum to the output spectrum. the algorithm is simple and efficient but limited to constant velocity. a v(z)(f-k) migration method, capable of very high accuracy for vertical variations of velocity, can be formulated...

This paper deals with obtaing necessary and sufficient conditions for the existence of at least one Ψ-bounded solution for the non-homogeneous matrix difference equation X(n+1) = A(n)X(n)B(n)+F (n), where F (n) is a Ψ-bounded matrix valued function on Z+. Finally, we prove a result relating to the asymptotic behavior of the Ψ-bounded solutions of this equation on Z+.

X and Y in multiple different ways as long as the matrix multiplication remains valid. For example, we could assign the multiplication modes in both tensors to columns, in this case the matrix product becomes Z = XY . Alternatively, the tensor Y could be matrisized with the multiplication modes corresponding to rows, resulting in the product Z = XY. In a series of tensor multiplications the ord...

We construct a 2×2 matrix algebra as representation of functions on discrete group Z2 and develop the gauge theory on discrete group proposed by Starz in the matrix algebra. Accordingly, we show that the non-commutative geometry model built by R.Conquereax, G.Esposito-Farese and G.Vaillant results from this approach directly. For the purpose of Physical model building, we introduce a free fermi...

Recently, J. A. Tirao [Proc. Nat. Acad. Sci. 100 (14) (2003), 8138–8141] considered a matrix-valued analogue of the 2F1 Gauß hypergeometric function and showed that it is the unique solution of a matrix-valued hypergeometric equation analytic at z = 0 with value I, the identity matrix, at z = 0. We give an independent proof of Tirao’s result, extended to the more general setting of hypergeometr...