Matrix Equation
A General Hermitian Nonnegative Definite Solution to the Matrix Equation AXB = C
... In their efforts to derive a solution, Khatri and Mitra in [12] have employed an innovative technique that converts (9) to an equation in which the coefficient matrices are equal. We call this technique ...
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Developing CRS iterative methods for periodic Sylvester matrix equation
... the matrix form of CRS1 method for solving the gen- eralized Sylvester matrix equation ...the matrix form of CRS1 method for solving the generalized Sylvester matrix equation ...
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Iterative algorithm for the reflexive solutions of the generalized Sylvester matrix equation
... the matrix equation AX = B with respect to a generalized reflection P by using the Moore-Penrose ...Sylvester equation with non-Hermitian and complex symmetric positive definite/semi-definite ...
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Solution of Fuzzy Matrix Equation System
... The main is to develop a method to solve an arbitrary fuzzy matrix equation system by using the embedding approach. Considering the existing solution to n × n fuzzy matrix equation system is ...
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On the solving of matrix equation of Sylvester type
... solving matrix equations (see, for example, [7], and references ...Sylvester matrix equations continue to attract the attention of researchers [1-3, 6, ...a matrix equation of the Sylvester ...
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On the Solution of the Rational Matrix Equation
... We study numerical methods for finding the maximal symmetric positive definite solution of the nonlinear matrix equation X = Q + LX −1 L T , where Q is symmetric positive definite and L is nonsingular. Such ...
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The Matrix Equation F(A)X - XA = O
... be assumed to be in diagonal form with the eigenvalues of X ordered such that equal eigenvalues are adjacent on the diagonal.. ,k is the ordering of the eigenva[r] ...
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On the matrix equation Xn=B over finite fields
... In this paper, we consider the problem of determining the number N Nn,m,B of the n-th roots in M of a given matrix.. Our present work generalizes a recent paper of the authors [1] in whi[r] ...
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Index Terms Helmholtz equation, Non-local operator, DtN mapping, Artificial boundary condition, Mixed-type method.
... stiffness matrix is evaluated for each element and is assembled over the entire region according to the global node numbering to obtain a global matrix ...stiffness matrix is assembled by adding the ...
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Characterization of Relationships Between the Domains of Two Linear Matrix-Valued Functions with Applications
... Block matrix, rank of matrix, and matrix equation are basic concepts in linear algebra, while the block matrix method (BMM), the matrix rank method (MRM), and the matrix ...
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A T-Matrix Solver for Fast Modeling of Scattering from Multiple PEC Objects
... Abstract—T matrix characterizes the scattering property of a single PEC object and does not depend on the ...T matrix for a single 3D PEC object with arbitrary ...T matrix for a PEC object, the ...
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The Stability Cone for a Matrix Delay Difference Equation
... The paper is organized as follows. In the second section, we recall the results on the stability of the scalar equation 1.2 with real nonnegative a and any real b 14, 15. Further in that section we construct the ...
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On The Numerical Solution of Urysohn Integral Equation Using Chebyshev Polynomial
... Urysohn equation of the second ...the equation to a matrix equation, by means of collocation points on the interval [−1, 1] which corresponds to system of algebraic equations with Chebyshev ...
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A Hybrid Method to Accelerate the Calculation of Two-Dimensional Monostatic Radar Cross Section on PEC Targets
... Fortunately, many fast methods have been proposed to accelerate the iterative solution of the MoM matrix equation. The adaptive cross approximation (ACA)-based algorithms [1–7] are relatively popular in ...
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Sinogram Interpolation Method for Sparse Angle Tomography
... 1 ≥ ≥ i κ − 1 2 , where κ is the interpolation factor as defined in Section 2.3). The influence of distance to the interpolation error can be seen in Figure 9, which shows that when the distance from the known sinogram ...
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Strain Localization during Equal-Channel Angular Pressing analyzed by Finite Element Simulations
... Figure 13. Comparison of shear and matrix bands in simulation (right) and experiment (left). In the optical micrograph the shear bands are shown in bright and the matrix bands in dark gray. In the ...
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Sinc operational matrix method for solving the Bagley-Torvik equation
... integral equation [25], third-order boundary value problems [24], squeezing flow [19], fractional convection-diffusion equations [23], differential-algebraic equations [27] and Thomas-Fermi equation ...
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Vol 2, No 7 (2011)
... the equation (2.8). In the following result, the pseudo Chebyshev matrix polynomials appear as finite series solutions of the r - th order matrix differential ...Chebyshev matrix polynomials ...
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Some details of proofs of theorems related to the quantum dynamical Yang Baxter equation
... fusion matrix and the exchange matrix. The matrix elements of the intertwining operator and of the exchange matrix generalize respectively the Clebsch-Gordan coefficients and the Racah ...
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The environmental "trade balance" between Scotland and the rest of the UK : an inter-regional input-output and SAM analysis
... make matrix and other data required to convert these into analytical format are not publicly ...flows matrix in basic prices (see Allan et al, 2004, or Ferguson et al, 2004, for full ...
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