Publications by the researcher in collaboration with María José Pereira Sáez (15)

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

2012

  1. Categoría de lusternik-schnirelmann y funciones de morse en los espacios simétricos

    Categoría de lusternik-schnirelmann y funciones de morse en los espacios simétricos

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