Results 271 to 280 of about 190,067 (305)
Some of the next articles are maybe not open access.
Solution of Systems of Linear Algebraic Equations with Two-Dimensional λ-Matrices
Cybernetics and Systems Analysis, 2001A 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
2020Linear 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 ...
openaire +1 more source
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
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
Some connections between algebraic properties of pairs of matrices and 2D systems realization
2005This paper is concerned with some properties of transfer functions in two variables which can be realized by classes of 2D systems characterized by pairs of state updating matrices which generate algebras with special structures. Two situations are mainly considered. The first deals with pairs of matrices which generate a solvable Lie algebra (i.e. are
E. Fornasini, G. Marchesini
openaire +1 more source
A Method for Solution of Systems of Linear Algebraic Equations with m-Dimensional @lambda;-Matrices
Cybernetics and Systems Analysis, 2002zbMATH Open Web Interface contents unavailable due to conflicting licenses.
openaire +2 more sources
IEEE Transactions on Automation Science and Engineering, 2019
Formation-containment control problems for multiple multirotor unmanned aerial vehicle (UAV) systems with directed topologies are studied, where the states of leaders form desired formation and the states of followers converge to the convex hull spanned ...
Xiwang Dong +4 more
semanticscholar +1 more source
Formation-containment control problems for multiple multirotor unmanned aerial vehicle (UAV) systems with directed topologies are studied, where the states of leaders form desired formation and the states of followers converge to the convex hull spanned ...
Xiwang Dong +4 more
semanticscholar +1 more source
Mathematics and Computers in Simulation, 1965
The stability of solutions of systems of algebraic equations on arithmetic machines by iterative or indirect methods and directly on analytic machines, is considered in this paper. The concept of an Explicit Operation Matrix is introduced which simplifies the analysis of stability of solutions.
Krishnamurthy, E. V., Honnell, P. M.
openaire +2 more sources
The stability of solutions of systems of algebraic equations on arithmetic machines by iterative or indirect methods and directly on analytic machines, is considered in this paper. The concept of an Explicit Operation Matrix is introduced which simplifies the analysis of stability of solutions.
Krishnamurthy, E. V., Honnell, P. M.
openaire +2 more sources
A property of Hurwitz matrices in the regularization of a system of linear algebraic equations
USSR Computational Mathematics and Mathematical Physics, 1987See the review in Zbl 0626.65028.
openaire +2 more sources
ALGEBRA OF MATRICES IN THE MATLAB SYSTEM.
This article covers ways to enter matrices, arrays, and vectors in MATLAB. There is talk about actions to be performed on them.openaire +1 more source
The operator algebra of almost Toeplitz matrices and the optimal control of large-scale systems
2009 American Control Conference, 2009We propose a definition of almost Toeplitz matrices as matrices with off-diagonal decay that are close to begin Toeplitz in their center columns and decrease in Toeplitzness toward their first and last columns. We prove that such matrices form an operator algebra under matrix addition and multiplication.
openaire +1 more source