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Typos in tutorial

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Jitse Niesen 2009-08-26 18:53:56 +01:00
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doc/C05_TutorialLinearAlgebra.dox
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@ -23,7 +23,7 @@ solving systems of linear equations, finding eigenvalues and eigenvectors, and s
\section TutorialAdvSolvers Solving linear problems
This part of the tutorial focuses on solving systems of linear equations. Such statems can be
This part of the tutorial focuses on solving systems of linear equations. Such systems can be
written in the form \f$ A \mathbf{x} = \mathbf{b} \f$, where both \f$ A \f$ and \f$ \mathbf{b} \f$
are known, and \f$ \mathbf{x} \f$ is the unknown. Moreover, \f$ A \f$ is assumed to be a square
matrix.
@ -105,7 +105,7 @@ then the system \f$ A \mathbf{x} = \mathbf{b} \f$ has either zero or infinitely
both cases, PartialLU::solve() will give nonsense results. For example, suppose that we want to
solve the same system as above, but with the 10 in the last equation replaced by 9. Then the system
of equations is inconsistent: adding the first and the third equation gives \f$ 8x + 10y + 12z = 7 \f$,
which implies \f$ 4x + 5y + 6z = 3\frac12 \f$, in contradiction with the seocond equation. If we try
which implies \f$ 4x + 5y + 6z = 3\frac12 \f$, in contradiction with the second equation. If we try
to solve this inconsistent system with Eigen, we find:
<table class="tutorial_code"><tr><td>