Years ago

@article{Gray1996YearsA,
  title={Years ago},
  author={Jeremy J. Gray},
  journal={The Mathematical Intelligencer},
  year={1996},
  volume={18},
  pages={57-69}
}
  • Jeremy J. Gray
  • Published 1 December 1996
  • Mathematics
  • The Mathematical Intelligencer
71 Citations
Spectra of quaternion unit gain graphs
Solvability of New Constrained Quaternion Matrix Approximation Problems Based on Core-EP Inverses
Based on the properties of the core-EP inverse and its dual, we investigate three variants of a novel quaternion-matrix (Q-matrix) approximation problem in the Frobenius norm: $$\min \Vert \mathbf
Weighted quaternion core-EP, DMP, MPD, and CMP inverses and their determinantal representations
In this paper, we extend notions of the weighted core-EP right and left inverses, the weighted DMP and MPD inverses, and the CMP inverse to matrices over the quaternion skew field that have some
Cauchy matrix and Liouville formula of quaternion impulsive dynamic equations on time scales
Abstract In this study, we obtain the scalar and matrix exponential functions through a series of quaternion-valued functions on time scales. A sufficient and necessary condition is established to
Determinantal Representations of the Quaternion Core Inverse and Its Generalizations
  • Ivan Kyrchei
  • Mathematics
    Advances in Applied Clifford Algebras
  • 2019
In this paper, we extend notions of the core inverse, core-EP inverse, DMP inverse, and CMP inverse over the quaternion skew field $${\mathbb {H}}$$ that have some features in comparison to complex
On Compact Affine Quaternionic Curves and Surfaces
This paper is devoted to the study of affine quaternionic manifolds and to a possible classification of all compact affine quaternionic curves and surfaces. It is established that on an affine
Cramer’s rules for the system of quaternion matrix equations with η-Hermicity
The system of two-sided quaternion matrix equations with η-Hermicity, A1XA1η* = C1, A2XA2η* = C2 is considered in the paper. Using noncommutative row-column determinants previously introduced by the
On the youthful writings of Louis J. Mordell on the Diophantine equation $$y^2-k=x^3$$
This article examines the research of Louis J. Mordell on the Diophantine equation $$y^2-k=x^3$$ as it appeared in one of his first papers, published in 1914. After presenting a number of elements
Cramer’s Rules of $$\pmb {\eta }$$η-(Skew-)Hermitian Solutions to the Quaternion Sylvester-Type Matrix Equations
  • Ivan Kyrchei
  • Mathematics
    Advances in Applied Clifford Algebras
  • 2019
Using determinantal representations of the Moore-Penrose inverse previously obtained by the author within the framework of the theory of quaternion column-row determinants, we first get explicit
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References

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Universal Bounds on the Torsion of Elliptic Curves
© Foundation Compositio Mathematica, 1979, tous droits réservés. L’accès aux archives de la revue « Compositio Mathematica » (http: //http://www.compositio.nl/) implique l’accord avec les conditions
The unreal life of Oscar Zariski
That Darling Old Lady Kobrin and Chernigov 1899- 1918.- Birds Whirling like Numbers Kiev 1918-1920.- Three Great Mathematicians Rome 1921-1926.- Reading Pushkin and Dante.- "Oscar, You Are Not One of
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