Elements of the Theory of Linear Systems

  • Michel Sakarovitch
Part of the Springer Texts in Electrical Engineering book series (STELE)


If we look at a linear program in standard form,
$$\left\{ \begin{gathered}Ax = b\quad x \geqslant 0 \hfill \\cx = z\quad (Max) \hfill \\\end{gathered} \right.$$
we can see it is made of:
  1. 1.

    A system of linear equations Ax = b (we also say a “linear system”).

  2. 2.

    A set of nonnegativity constraints on the variables x ≥ 0.

  3. 3.

    An objective function cx = z, which we try to make maximum.



Linear System Solve Linear System Pivot Operation Redundant Equation Direct Consequenc 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.


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Copyright information

© Springer Science+Business Media New York 1983

Authors and Affiliations

  • Michel Sakarovitch
    • 1
  1. 1.Laboratoire I.M.A.G.Université Scientifique et Medicale de GrenobleGrenoble CedexFrance

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