Computationally efficient orthogonalization for pairwise comparisons method
<|reference_start|>Computationally efficient orthogonalization for pairwise comparisons method: Orthogonalization is one of few mathematical methods conforming to mathematical standards for approximation. Finding a consistent PC matrix of a given an inconsistent PC matrix is the main goal of a pairwise comparisons method. We introduce an orthogonalization for pairwise comparisons matrix based on a generalized Frobenius inner matrix product. The proposed theory is supported by numerous examples and visualizations.<|reference_end|>
@article{benitez2024computationally,
    title={Computationally efficient orthogonalization for pairwise comparisons
  method},
    author={Julio Benitez, Waldemar W. Koczkodaj, Adam Kowalczyk},
    journal={Applied Mathematics and Computation, vol 473, 2024},
    year={2024},
    doi={10.1016/j.amc.2024.128651},
    archivePrefix={arXiv},
    eprint={2404.15286},
    primaryClass={math.NA cs.NA}
}