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authorGravatar Jitse Niesen <jitse@maths.leeds.ac.uk>2009-08-26 18:53:56 +0100
committerGravatar Jitse Niesen <jitse@maths.leeds.ac.uk>2009-08-26 18:53:56 +0100
commit76fa46c6db95a1563076e8bda2c96bd69f4a4adf (patch)
treef07c4e211deb51fee63f6441c4910133ddf542d3 /doc
parent37054987217d04cf649ba86324092bc14e9f0788 (diff)
Typos in tutorial
Diffstat (limited to 'doc')
-rw-r--r--doc/C05_TutorialLinearAlgebra.dox4
1 files changed, 2 insertions, 2 deletions
diff --git a/doc/C05_TutorialLinearAlgebra.dox b/doc/C05_TutorialLinearAlgebra.dox
index e70298b47..fbf809d58 100644
--- a/doc/C05_TutorialLinearAlgebra.dox
+++ b/doc/C05_TutorialLinearAlgebra.dox
@@ -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>