Add to ORKGA study is done of solution methods for Linear Matrix Equations including Lyapunov's equation, using methods of modern algebra. The emphasis is on the use of finite algebraic procedures which are easily implemented on a digital computer and which lead to an explicit solution to the problem. The action f sub BA is introduced a Basic Lemma is proven. The equation PA + BP = -C as well as the Lyapunov equation are analyzed. Algorithms are given for the solution of the Lyapunov and comment is given on its arithmetic complexity. The equation P - A'PA = Q is studied and numerical examples are given
AbstractThe matrix equation ∑∑fikAiXBk = C is discussed, based on the algebraic approach of Djaferis...
Two efficient methods for solving generalized Lyapunov equations and their implementations in FORTRA...
This article is concerned with the efficient numerical solution of the Lyapunov equation A(T) X + XA...
The characterization of polynomials whose zeros lie in certain algebraic domains (and the unificatio...
AbstractAn algebraic viewpoint permits the formulation of necessary and sufficient conditions for th...
Given the square matrices A, B, D, E and the matrix C of conforming dimensions, we consider the line...
The matrix equation A'P + PA = -Q arises when the direct method of Lyapunov is used to analyse the s...
The study deals with systems of linear algebraic equations and algorithms of their solution with a g...
AbstractLyapunov and Sylvester equations play an important role in linear systems theory. This paper...
AbstractThis paper describes how the well-known Lyapunov theory can be used for thedevelopment of a ...
A two-variable polynomial approach to solve the one-variable polynomial Lyapunov and Sylvester equat...
AbstractThe Lyapunov matrix equation AX+XA⊤=B is N-stable when all eigenvalues of the real n×n matri...
Matrix equations have been studied by Mathematicians for many years. Interest in them has grown due ...
AbstractIterative solution of the Lyapunov matrix equation AX + XB = C using ADI theory described in...
Various ordinary differential equations of the first order have recently been used by the author for...
AbstractThe matrix equation ∑∑fikAiXBk = C is discussed, based on the algebraic approach of Djaferis...
Two efficient methods for solving generalized Lyapunov equations and their implementations in FORTRA...
This article is concerned with the efficient numerical solution of the Lyapunov equation A(T) X + XA...
The characterization of polynomials whose zeros lie in certain algebraic domains (and the unificatio...
AbstractAn algebraic viewpoint permits the formulation of necessary and sufficient conditions for th...
Given the square matrices A, B, D, E and the matrix C of conforming dimensions, we consider the line...
The matrix equation A'P + PA = -Q arises when the direct method of Lyapunov is used to analyse the s...
The study deals with systems of linear algebraic equations and algorithms of their solution with a g...
AbstractLyapunov and Sylvester equations play an important role in linear systems theory. This paper...
AbstractThis paper describes how the well-known Lyapunov theory can be used for thedevelopment of a ...
A two-variable polynomial approach to solve the one-variable polynomial Lyapunov and Sylvester equat...
AbstractThe Lyapunov matrix equation AX+XA⊤=B is N-stable when all eigenvalues of the real n×n matri...
Matrix equations have been studied by Mathematicians for many years. Interest in them has grown due ...
AbstractIterative solution of the Lyapunov matrix equation AX + XB = C using ADI theory described in...
Various ordinary differential equations of the first order have recently been used by the author for...
AbstractThe matrix equation ∑∑fikAiXBk = C is discussed, based on the algebraic approach of Djaferis...
Two efficient methods for solving generalized Lyapunov equations and their implementations in FORTRA...
This article is concerned with the efficient numerical solution of the Lyapunov equation A(T) X + XA...