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2. Solving systems of linear equations
Let A be a square matrix with n rows and n columns whose elements a
ij
are known. Let b be a vector whose n components b
i
are known. We search for the vector x, of components x
1
, x
2
, ..., x
n
, which verifies the system of linear equations :
The solution to this problem is well known, and can be found in all linear algebra courses: x i is equal to a ratio of determinants, with the determinant of the matrix A in the denominator and the same determinant in the numerator, in which...
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Solving systems of linear equations
Calculating eigenvalues
Bibliographies
References
Publications on numerical analysis
(list in alphabetical order, not exhaustive)
Advances in Computational Mathematics
Applied Numerical Mathematics
BIT Numerical Mathematics
Computer Aided Geometric Design
Constructive Approximation
Journal of Approximation Theory
...
Calculation software
(non-exhaustive list)
The best known is MATLAB http://www.mathworks.fr/
A guide to available calculation software can be found at : http://gams.nist.gov/
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