From 76fa46c6db95a1563076e8bda2c96bd69f4a4adf Mon Sep 17 00:00:00 2001 From: Jitse Niesen Date: Wed, 26 Aug 2009 18:53:56 +0100 Subject: [PATCH] Typos in tutorial --- doc/C05_TutorialLinearAlgebra.dox | 4 ++-- 1 file 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: