Results 191 to 200 of about 191,170 (252)

Direct methods of solving systems of linear algebraic ef ions with complex a-matrices

Cybernetics and Systems Analysis, 2000
The paper deals with the solution of complex linear systems \(A(\lambda)X(\lambda)=B(\lambda)\) where \(B(\lambda)\) is a polynomial vector and \(A(\lambda)\) a trigonometric matrix polynomial. The paper discusses several (non-orthogonal) direct methods for the solution of linear systems which are adapted to the polynomial situation and backward ...
Bosikova, I. I., Nedashkovskii, N. A.
openaire   +2 more sources

Model matching of input/output asynchronous sequential machines based on the semi-tensor product of matrices

Future generations computer systems, 2017
This paper investigates the model matching problem of input/output asynchronous sequential machines (ASMs) based on the semi-tensor product (STP) of matrices. The controller of the model matching problem is separated to an observer B and a control unit F
Jingjing Wang, Xiaoguang Han, Zengqiang Chen, Qing Zhang   +3 more
semanticscholar   +1 more source

The package processing of systems of linear algebraic equations with sparse matrices

USSR Computational Mathematics and Mathematical Physics, 1978
Abstract A DESCRIPTION is given of the structure of the package SPARSE for the solution of systems of linear algebraic equations arising from the integration of systems of ordinary differential equations. Reliability and efficiency of the work of the package is attained because of the choice of a corresponding system organization, based on the ideas ...
Eremin, A. Yu., Mar'yashkin, N. Ya.
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Invertibility of matrices over ordered algebraic systems

Siberian Mathematical Journal, 1998
\textit{L. A. Skornyakov} [Sib. Mat. Zh. 27, No. 2(156), 182-185 (1986; Zbl 0595.15003)] gave a description of invertible matrices over distributive lattices. The author generalizes it to the case of ordered algebraic systems (of ordered groupoids with an upper semilattice structure on them). The systems were considered by \textit{T. S. Blyth} [J. Lond.
openaire   +2 more sources

Closed form integration of element stiffness matrices using a computer algebra system

Computers & Structures, 1995
Abstract A symbolic algebra package, Mathematica is used to investigate the analytical integration of the mixed finite element stiffness matrices. Two mixed finite elements of the Hellinger-Reissner type are examined in this study; the computing effort in the generation of the stiffness matrices with an analytical integration process is reduced ...
Yew, C. K., Boyle, J. T., MacKenzie, D.
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Minimax matrix correction of inconsistent systems of linear algebraic equations with block matrices of coefficients

Journal of Computer and Systems Sciences International, 2006
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Gorelik, V. A., Erokhin, V. I., Pechenkin, R. V.   +2 more
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Systems of linear algebraic equations with random coefficients when the regularization matrices are used

Random Operators and Stochastic Equations, 1993
Summary: Existence problems of linear algebra are discussed. With the help of the methods of \(G\)-analysis new assertions for the solutions of linear systems with random coefficients are obtained. The new class of \(G\)-estimates of the solutions for systems of linear algebraic equations with random coefficients, when the regularization matrices are ...
Girko, V. L., Babanin, A., Kurotschka, V.   +2 more
openaire   +2 more sources

Solution of Systems of Linear Algebraic Equations with Two-Dimensional λ-Matrices

Cybernetics and Systems Analysis, 2001
A finite-difference approach to the solution of systems of linear algebraic equations with two-dimensional λ-matrices of a special form is considered. Recursive relations are obtained for computing the elements of an arbitrary row of the matrix of a given system, and formulas are proposed for determination of solutions of the system.
openaire   +1 more source

Conditionality of Linear Systems of Equation and Matrices Using Projective Geometric Algebra

2020
Linear systems of equations and their reliable solution is a key part of nearly all computational systems and in a solution of many engineering problems. Mostly, the estimation of the matrix conditionality is used for an assessment of the solvability of linear systems, which are important for interpolation, approximation, and solution of partial ...
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Tikhonov solutions of approximately given systems of linear algebraic equations under finite perturbations of their matrices

Computational Mathematics and Mathematical Physics, 2010
Summary: The properties of a mathematical programming problem that arises in finding a stable (in the sense of Tikhonov) solution to a system of linear algebraic equations with an approximately given augmented coefficient matrix are examined. Conditions are obtained that determine whether this problem can be reduced to the minimization of a smoothing ...
Volkov, V. V., Erokhin, V. I.
openaire   +2 more sources