On a class of non-Hermitian matrices with positive definite Schur complements. Berger, T., Giribet, J. I., Pería, F. M., & Trunk, C. Proceedings of American Mathematical Society, 147(6):2375–2388, 2019.
On a class of non-Hermitian matrices with positive definite Schur complements [link]Paper  bibtex   
@Article{Berger2018,
  author        = {Berger, Thomas and Giribet, Juan Ignacio and Per{\'{i}}a, Francisco Mart{\'{i}}nez and Trunk, Carsten},
  title         = {On a class of non-Hermitian matrices with positive definite Schur complements},
  journal       = {Proceedings of American Mathematical Society},
  year          = {2019},
  volume        = {147},
  number        = {6},
  pages         = {2375--2388},
  archiveprefix = {arXiv},
  arxivid       = {1807.08591},
  eprint        = {1807.08591},
  file          = {:Users/juan/Downloads/proc14412.pdf:pdf},
  url           = {http://arxiv.org/abs/1807.08591},
}

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