# Gram Schmidt Orthonormalizatoin
Orthogonalization and QR decomposition of matrices in the Rust programming language and `rust-ndarray`.
This crate provides the following methods:
+ Classical Gram Schmidt, `cgs`,
+ Modified Gram Schmidt, `mgs`,
+ Classical Gram Schmidt with Reorthogonalization, `cgs2`.
# Usage
```rust
extern crate gramschmidt;
extern crate ndarray;
// Import openblas_src or another blas source to have the linker find all symbols.
extern crate openblas_src;
fn main() {
let small_matrix = arr2(
&[[2.0, 0.5, 0.0, 0.0],
[0.0, 0.3, 0.0, 0.0],
[0.0, 1.0, 0.7, 0.0],
[0.0, 0.0, 0.0, 3.0]]
);
let mut cgs2 = ReorthogonalizedGramSchmidt::from_matrix(&small_matrix);
cgs2.compute(&small_matrix);
assert!(small_matrix.all_close(&cgs2.q().dot(cgs2.r()), 1e-14));
}
```
# Recent versions
+ `0.4.0`: Major rework of the library structure:
+ The algorithms are now configured via structs, the traits are dropped.
+ Provide the structs `ClassicalGramSchmidt`, `ModifiedGramSchmidt`, and
`ReorthogonalizedGramSchmidt` (known as `cgs`, `mgs`, and `cgs2` in the
literature, respectively);
+ `cgs` and `cgs2` are implemented using `blas` routines (major speedup!);
+ All routines are now able to handle column-major (Fortran-) and row-major (C-) order
of the input matrices;
+ Remove parallel code.
+ `0.3.1`: Update to `blas 0.16` and do not specify a default backend (so that the user can set it).
+ `0.3.0`: Update to `ndarray 0.10`, `ndarray-parallel 0.5`
+ `0.2.1`: Added a parallelized algorithm using `rayon`
+ `0.2.0`: Update to `ndarray 0.9`