Results 31 to 40 of about 247,997 (332)
Hierarchical equations of motion approach to hybrid fermionic and bosonic environments: Matrix product state formulation in twin space. [PDF]
Journal of Chemical Physics, 2022 We extend the twin-space formulation of the hierarchical equations of motion approach in combination with the matrix product state representation [R. Borrelli, J. Chem. Phys.
Y. Ke, Raffaele Borrelli, M. Thoss
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Rocky Mountain Journal of Mathematics, 2010 By using appropriate matrix decompositions, necessary and sufficient solvability conditions and explicit reflexive and anti-reflexive solutions for the following matrix equation: {\parindent9mm \begin{itemize}\item[(I)] \(A_1 XB_1 = D_1\), and systems of matrix equations: \item[(II)] \(A_1 X = C_1, XB_2 = C_2\), and \item[(III)] \(A_1 X = C_1, XB_2 ...
Dehghan, Mehdi, Hajarian, Masoud
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On the generalized reflexive and anti-reflexive solutions to a system of matrix equations
, 2012 Let P and Q be two generalized reflection matrices, i.e, P=PH, P2=I and Q=QH, Q2=I. An n×n matrix A is said to be generalized reflexive (generalized anti-reflexive) with respect to the matrix pair (P;Q) if A=PAQ (A=-PAQ).
M. Dehghan, M. Hajarian
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The solution of the full matrix analogue of the generalized abel equation with constant coefficients
Vestnik Samarskogo Gosudarstvennogo Tehničeskogo Universiteta. Seriâ: Fiziko-Matematičeskie Nauki, 2011 The system of generalized integral Abel equations in the matrix form with constant coefficients on the segment. Was considered at the terms of the integral Riemann-Liouville operators of matrix order.
Rina R Ismagilova
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On the Iterative Method for the System of Nonlinear Matrix Equations [PDF]
Abstract and Applied Analysis, 2013 Summary: The positive definite solutions for the system of nonlinear matrix equations \(X + A^\ast Y^{-n} A = I\), \(Y + B^\ast X^{-m} B = I\) are considered, where \(n\), \(m\) are two positive integers and \(A\), \(B\) are nonsingular complex matrices.
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Reflexive solution to a system of matrix equations
, 2015 We derive necessary and sufficient conditions for the existence and an expression of the (anti)reflexive solution with respect to the nontrivial generalized reflection matrix P to the system of complex matrix equations AX = B and XC = D.
Haixia Chang, Qing-Wen Wang
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Journal of mathematics, 2018 Within the framework of the theory of quaternion row-column determinants previously introduced by the author, we derive determinantal representations (analogs of Cramer’s rule) of solutions and Hermitian solutions to the system of two-sided quaternion ...
Ivan Kyrchei
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MATEC Web of Conferences, 2016 This text discusses the use of transformation matrices to determine the motion equations of the complex mechanical structure. Use of the transformation matrix does not apply only to motion equations but has the general use in relative positions determine
Zátopek Jiří
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On application of Cramer’s rule
Lietuvos Matematikos Rinkinys, 2011 The article analyses a possibility of modification of Cramer’s rule. The modified formulas for the solution of a system of linear equations, with application of which the volume of calculation reduces, are suggested.
Antanas Apynis
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An Iterative Algorithm for the Reflexive Solution of the General Coupled Matrix Equations
The Scientific World Journal, 2013 The general coupled matrix equations (including the generalized coupled Sylvester matrix equations as special cases) have numerous applications in control and system theory.
Zhongli Zhou, Guangxin Huang
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