Publications by the researcher in collaboration with Enrique Macías-Virgós (14)

2023

  1. Rayleigh quotient and left eigenvalues of quaternionic matrices

    Linear and Multilinear Algebra, Vol. 71, Núm. 13, pp. 2163-2179

2022

  1. Homotopic Distance and Generalized Motion Planning

    Mediterranean Journal of Mathematics, Vol. 19, Núm. 6

2020

  1. Correction to: On the Quaternionic Quadratic Equation xax+ bx+ xc+ d= 0 (Advances in Applied Clifford Algebras, (2019), 29, 4, (81), 10.1007/s00006-019-0999-3)

    Advances in Applied Clifford Algebras

  2. Non-linear Morse–Bott functions on quaternionic Stiefel manifolds

    Indagationes Mathematicae, Vol. 31, Núm. 6, pp. 968-983

2019

  1. On the Quaternionic Quadratic Equation xax+bx+xc+d=0

    Advances in Applied Clifford Algebras, Vol. 29, Núm. 4

  2. Relative singular value decomposition and applications to LS-category

    Linear Algebra and Its Applications, Vol. 582, pp. 58-75

2018

  1. Cayley transform on Stiefel manifolds

    Journal of Geometry and Physics, Vol. 123, pp. 53-60

2017

  1. Morse Theory and the Lusternik-Schnirelmann Category of Quaternionic Grassmannians

    Proceedings of the Edinburgh Mathematical Society, Vol. 60, Núm. 2, pp. 441-449

2015

  1. Height functions on compact symmetric spaces

    Monatshefte fur Mathematik, Vol. 177, Núm. 1, pp. 119-140

2014

  1. A topological approach to left eigenvalues of quaternionic matrices

    Linear and Multilinear Algebra, Vol. 62, Núm. 2, pp. 139-158

  2. Cayley-Hamilton theorem for left eigenvalues of 3 × 3 quaternionic matrices

    Special Matrices, Vol. 2, Núm. 1, pp. 11-18

2013

  1. An upper bound for the Lusternik-Schnirelmann category of the symplectic group

    Mathematical Proceedings of the Cambridge Philosophical Society, Vol. 155, Núm. 2, pp. 271-276

2011

  1. Trace map, Cayley transform and LS category of Lie groups

    Annals of Global Analysis and Geometry, Vol. 39, Núm. 3, pp. 325-335

2010

  1. Symplectic matrices with predetermined left eigenvalues

    Linear Algebra and Its Applications, Vol. 432, Núm. 1, pp. 347-350