Results 11 to 18 of about 29 (18)
A note on the singular value decomposition of (skew-)involutory and (skew-)coninvolutory matrices
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
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Hoffman-Wielandt type inequality for block companion matrices of certain matrix polynomials
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
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Similarity and consimilarity of hyper-dual generalized quaternions [PDF]
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
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Angles, Majorization, Wielandt Inequality and Applications [PDF]
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
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Consimilarity of Commutative Quaternion Matrices [PDF]
Akyigit, Mahmut +2 more
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On the Coneigenvalue Decomposition of Sinclair Matrices
Dallmann, Thomas, Heberling, Dirk
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Coneigenvalues and coneigenvectors of quaternion and split quaternion matrices
2023Alagöz, Yasemin, Özyurt, Gözde
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