Results 11 to 18 of about 29 (18)

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

open access: yes, 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   +1 more source

Hoffman-Wielandt type inequality for block companion matrices of certain matrix polynomials

open access: yes, 2022
Matrix polynomials with unitary/doubly stochastic coefficients form the subject matter of this manuscript. We prove that if $P(\lambda)$ is a quadratic matrix polynomial whose coefficients are either unitary matrices or doubly stochastic matrices, then ...
B, Pallavi .   +2 more
core  

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

open access: yes
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   +1 more source

Angles, Majorization, Wielandt Inequality and Applications [PDF]

open access: yes, 2013
In this thesis we revisit two classical definitions of angle in an inner product space: real-part angle and Hermitian angle. Special attention is paid to Krein’s inequality and its analogue.
Lin, Minghua
core  

Consimilarity of Commutative Quaternion Matrices [PDF]

open access: yes, 2015
Akyigit, Mahmut   +2 more
core   +2 more sources

On the Coneigenvalue Decomposition of Sinclair Matrices

open access: yes, 2015
Dallmann, Thomas, Heberling, Dirk
core  
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