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On the decomposition method for system of linear equations and system of linear Volterra integral equations

Applied Mathematics and Computation, 2004
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Esmail Babolian   +2 more
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Solving linear systems of equations

Signal Processing, 1993
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Jurij F. Tasic, Dusan Caf, Marjan Gusev
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Systems of Linear Equations

1986
We shall now consider in some detail a systematic method of solving systems of linear equations. In working with such systems, there are three basic operations involved: (1) interchanging two equations (usually for convenience); (2) multiplying an equation by a non-zero scalar; (3) forming a new equation by adding one ...
Thomas S. Blyth, Edmund F. Robertson
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Systems of Linear Equations

1995
The theory of finite-dimensional vector spaces was created primarily in connection with one problem, and that is the simultaneous solution of a system of k linear equations in n indeterminates over a field F of the form $$ \begin{gathered} {a_{11}}{X_1} + ... + {a_{1n}}{X_n} = {b_1} \hfill \\ {a_{21}}{X_1} + ...
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Systems of linear equations

1978
In the historical development of linear algebra the geometry of linear transformations and the algebra of systems of linear equations played significant and important roles. A system of linear equations has the form $$\begin{gathered} {{a}_{{1,1}}}{{x}_{1}} + {{a}_{{1,2}}}{{x}_{2}} + \cdots + {{a}_{{1,n}}}{{x}_{n}} = {{b}_{1}}, \hfill \\ {{a}_{{2,1}
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Solution of Linear Equation System

1996
In the previous two chapters we showed how the convection-diffusion equation may be discretized using FD and FV methods. In either case, the result of the discretization process is a system of algebraic equations, which are linear or non-linear according to the nature of the partial differential equation(s) from which they are derived.
Joel H. Ferziger, Milovan Perić
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