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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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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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On the Coneigenvalue Decomposition of Sinclair Matrices
Dallmann, Thomas, Heberling, Dirk
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An Algorithm for Coneigenvalues and Coneigenvectors of Quaternion Matrices
Advances in Applied Clifford Algebras, 2014zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Ling, Sitao +2 more
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Theorems of the Hoffman-Wielandt type for the coneigenvalues of complex matrices
Doklady Mathematics, 2009\textit{A. J. Hoffman} and \textit{H. W. Wielandt} [Duke Math. J. 20, 37--39 (1953; Zbl 0051.00903)] proved that if \(A\) and \(B\) are normal matrices of order \(n\) having the eigenvalues \(\alpha _1,\alpha _2,\dots ,\alpha _n\) and \(\beta _1,\beta _2,\dots ,\beta _n\) respectively, then there exists a permutation \(\pi\) of the indices \(1,2,\dots ,
Ikramov, Kh. D., Nesterenko, Yu. R.
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Similarity relations and exponential of dual-generalized complex matrices
Analele Universitatii "Ovidius" Constanta - Seria Matematica, 2023In this study, taking into account the fundamental properties of dual-generalized complex (DGC) matrices, various types of similarity relations are introduced considering coneigenvalues/coneigenvectors via di erent conjugates.
N. Gürses, G. Şentürk
semanticscholar +1 more source
An algebraic method for quaternion and complex Least Squares coneigen-problem in quantum mechanics
Applied Mathematics and Computation, 2014T. Jiang, Ziwu Jiang, Sitao Ling
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New method for general Kennaugh’s pseudo-eigenvalue equation in radar polarimetry
Frontiers of Mathematics in China, 2012Sitao Ling, T. Jiang
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An Algorithm for Coneigenvalues and Coneigenvectors of Quaternion Matrices
, 2015Sitao Ling, Xuehan Cheng, T. Jiang
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