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author | Jitse Niesen <jitse@maths.leeds.ac.uk> | 2009-08-26 18:53:56 +0100 |
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committer | Jitse Niesen <jitse@maths.leeds.ac.uk> | 2009-08-26 18:53:56 +0100 |
commit | 76fa46c6db95a1563076e8bda2c96bd69f4a4adf (patch) | |
tree | f07c4e211deb51fee63f6441c4910133ddf542d3 /doc | |
parent | 37054987217d04cf649ba86324092bc14e9f0788 (diff) |
Typos in tutorial
Diffstat (limited to 'doc')
-rw-r--r-- | doc/C05_TutorialLinearAlgebra.dox | 4 |
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> |