transformation matrix

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transformation matrix

[‚tranz·fər′mā·shən ‚mā·triks]
(electromagnetism)
A two-by-two matrix which relates the amplitudes of the traveling waves on one side of a waveguide junction to those on the other.
References in periodicals archive ?
The classical Cesaro sequence space and its algebraic dual and related matrix transformations were introduced and studied by various authors like Shiue [25], Leibowitz [26], Lim [24], Khan and Khan [27],[28], Khan and Rahman [22], Johnson and Mohapatra [29], Rahman and Karim [30], etc.
Furthermore, they determined the [alpha]-, [beta]([??])-, and [gamma]-duals of some new double sequence spaces and characterized some classes of four-dimensional matrix transformations related to the new double sequence spaces.
The warning about over-actuated systems is given because the input/output rectangular matrix transformations needed in this case may assume a rigid platform.
In [9-11], the authors discuss the matrix transformations that preserve (p, q)-convexity of sequences in the case of a lower triangular matrix with a particular type of matrix transformation.
The above matrix transformations in Step 1 can be expressed by the function [F.sub.1] ([A.sub.ij]).
Many authors have extensively developed the theory of the matrix transformations between some sequence spaces; we refer the reader to [1-6].
Mathai, Jacobians of Matrix Transformations and Functions of Matrix Arguments, World Scientific, 1997.
o estimate the rotation of axes of coordinate system [O.sub.2][x.sub.2][y.sub.2] [z.sub.2] relative to the axes of stationary coordinate system [O.sub.1] [x.sub.1] [y.sub.1] [z.sub.1, it is formed a homogeneous matrix transformations.
It should be mentioned that [E.sub.1] can be transformed to form (38) by proper matrix transformations which will not change the structures of [B.sub.1] and [C.sub.1].
The notion of regularity for two dimensional matrix transformations was presented by Silverman [40] and Toeplitz [41].
Characterisations of classes of matrix transformations between sequence spaces constitute a wide, interesting and important field in both summability and operator theory.