@article{akh-05-aa-gauss,
  author = {Ramil R. Akhmerov},
  title = {Interval-Affine {Gaussian} Algorithm for Constrained Systems},
  journal = {Reliable Computing},
  volume = {11},
  pages = {323--341},
  year = 2005,
  doi = {10.1007/s11155-005-0040-5},
  comment = {Solving linear systems with AA},
  abstract = {The paper presents interval-affine Gaussian algorithm for the interval linear systems $Ax = b$ subject to some constraints on real matrices $A$ from the interval matrix $A$. The interval-affine method is based on the so-called interval-affine arithmetic that allows to take the constraints into account during the computation of interval enclosures of the united solution set of the system $Ax = b$, and to make the estimates more accurate.}
}