# qdldl-python
Python interface to the [QDLDL](https://github.com/oxfordcontrol/qdldl/)
free LDL factorization routine for quasi-definite linear systems: `Ax =
b`.
## Installation
This package can be directly installed via pip,
```
pip install qdldl
```
## Usage
Initialize the factorization with
```
import qdldl
F = qdldl.Solver(A)
```
where `A` must be a square quasi-definite matrix in [scipy sparse CSC
format](https://docs.scipy.org/doc/scipy/reference/generated/scipy.sparse.csc_matrix.html).
The algorithm internally converts the matrix into upper triangular format. If `A` is already upper-triangular, you can specify it with the argument `upper=True` to the `qdldl.Solver` constructor.
To solve the linear system for a right-hand side `b`, just write
```
x = F.solve(b)
```
To update the factorization without changing the sparsity pattern of `A` you can run
```
F.update(A_new)
```
where `A_new` is a sparse matrix in CSR format with the same sparsity pattern as `A`.
The algorithm internally converts `A_new` into upper triangular format. If `A_new` is already upper-triangular, you can specify it with the argument `upper=True` to the `F.update` function.
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