Results 1 to 10 of about 58 (22)

Some inequalities for coneigenvalues [PDF]

Journal of Inequalities and Applications, 2015
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
H De Sterck, H Faßender, KD Ikramov, RA Horn, RA Horn, X Zhan, Xiaohui Fu   +6 more
core   +7 more sources

On the Consimilarity of Split Quaternions and Split Quaternion Matrices [PDF]

Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2016
In this paper, we introduce the concept of consimilarity of split quaternions and split quaternion matrices. In his regard, we examine the solvability conditions and general solutions of the equations and in split quaternions and split quaternion ...
Kösal Hidayet Hüda, Akyiğit Mahmut, Tosun Murat   +2 more
doaj   +3 more sources

Some majorization inequalities for coneigenvalues [PDF]

The Electronic Journal of Linear Algebra, 2012
A new notion of coneigenvalue was introduced by Ikramov in (Kh.D. Ikramov. On pseudo-eigenvalues and singular numbers of a complex square matrix (in Russian). Zap. Nauchn. Semin. POMI, 334:111-120, 2006.). This paper presents some majorization inequalities for coneigen- values, which extend some classical majorization relations for eigenvalues and ...
Hans De Sterck, Minghua Lin
core   +4 more sources

On coneigenvalues of quaternion matrices: location and perturbation

Indian Journal of Pure and Applied Mathematics
We have added two examples to illustrate theorems. An error in the statement of a theorem is corrected.
Basavaraju, Pallavi, Hadimani, Shrinath, Jayaraman, Sachindranath   +2 more
core   +5 more sources

A note on the singular value decomposition of (skew-)involutory and (skew-)coninvolutory matrices [PDF]

Special Matrices, 2019
The singular values $\sigma >1$ of an $n \times n$ involutory matrix $A$ appear in pairs $(\sigma, \frac{1}{\sigma}),$ while the singular values $\sigma = 1$ may appear in pairs $(1,1)$ or by themselves.
Faßbender, Heike, Halwaß, Martin
core   +2 more sources

An Algebraic Relation between Consimilarity and Similarity of Quaternion Matrices and Applications

Journal of Applied Mathematics, Volume 2014, Issue 1, 2014., 2014
This paper, by means of complex representation of a quaternion matrix, discusses the consimilarity of quaternion matrices, and obtains a relation between consimilarity and similarity of quaternion matrices. It sets up an algebraic bridge between consimilarity and similarity, and turns the theory of consimilarity of quaternion matrices into that of ...
Tongsong Jiang, Xuehan Cheng, Sitao Ling, Fan Min   +3 more
wiley   +2 more sources

Decomplexification of eigenvalue and coneigenvalue problems

Journal of Mathematical Sciences, 2009
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
K. Ikramov
openaire   +2 more sources

Similarity and consimilarity of hyper-dual generalized quaternions [PDF]

Mathematical methods in the applied sciences
The aim of this paper is to investigate similarity and consimilarity of hyper-dual generalized quaternions and their matrices. For this purpose, we give different conjugates according to the generalized quaternionic units i,j,k.
Alagoz, Yasemin, Ozyurt, Gozde
core   +2 more sources

Consimilarity of Commutative Quaternion Matrices [PDF]

, 2015
Akyigit, Mahmut, Kösal, Hidayet Hüda, Tosun, Murat   +2 more
core   +3 more sources

Some Equivalence Relations and Results over the Commutative Quaternions and Their Matrices

Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2017
In this paper, we give some equivalence relations and results over the commutative quaternions and their matrices. In this sense, consimilarity, semisimilarity, and consemisimilarity over the commutative quaternion algebra and commutative quaternion ...
Kosal Hidayet Huda, Tosun Murat
doaj   +1 more source