mirror of
https://github.com/triqs/dft_tools
synced 2024-11-02 12:13:46 +01:00
3fe400d34c
- examples split from the rst file using a python script (split_code). - Final result for the doc is unchanged. - examples are compiled and tested with the other tests. - examples' code have been clang-formatted, with triqs style. - doc compiles much faster, and with the same options as the rest of the test. - examples are added as tests, so they are run by make test, as simple C tests. - done for the tutorials and the reference. - autocompile removed (changed into triqs_example directive). - add triqs_example : - make a literal include of the source code. - runs the compiled example - add, as before, the result to the source code in the doc. - added the script split_code, used to make the changes automatically, maybe for later reuse. (in _tools)
62 lines
1.6 KiB
ReStructuredText
62 lines
1.6 KiB
ReStructuredText
.. highlight:: c
|
|
|
|
Linear algebra
|
|
===============================================
|
|
|
|
.. warning::
|
|
|
|
Doc still largely to be written and updated....
|
|
|
|
Several standard linear algebra operations are provided for the matrix and vector.
|
|
Note however that matrix and vector are not the main purpose of this library,
|
|
hence the linear algebra support is less extended than other purely matrix library,
|
|
like e.g. Eigen.
|
|
|
|
The computation are done when possible by calling lapack and blas.
|
|
In some important cases (like matrix product), a slow but generic version is also
|
|
provided for type that lapack do not treat (e.g. matrix of int, matrix of custom objects)
|
|
but be aware that these are not optimized for performance and should be used only in
|
|
non critical part of the codes.
|
|
|
|
matrix product
|
|
--------------------
|
|
|
|
The * operator map the matrix x matrix and matrix x vector product.
|
|
|
|
Example : matrix * matrix and * vector ...
|
|
|
|
.. triqs_example:: ./blas_lapack_0.cpp
|
|
For types that lapack do not use, a generic version of the matrix product is provided.
|
|
(same syntax, the dispatch is made at compile time depending of the type of the matrices).
|
|
|
|
|
|
Matrix inversion
|
|
----------------------
|
|
|
|
The inverse function return a lazy inverse of any object which has ImmutableMatrix concept
|
|
and can therefore be mixed with any other matrix expression.
|
|
|
|
Example : TO BE WRITTEN
|
|
|
|
|
|
LU decomposition
|
|
----------------------
|
|
|
|
Done. doc to be written
|
|
|
|
Diagonalization
|
|
-------------------
|
|
Done. doc to be written
|
|
|
|
SVD decomposition
|
|
-------------------
|
|
|
|
To be done
|
|
|
|
Interface with Eigen
|
|
------------------------
|
|
|
|
To be implemented. Only possible for when order is known at compile time.
|
|
|
|
|