Results 51 to 60 of about 236 (80)
Contragredient equivalence: A canonical form and some applications
, 1995 R. Horn, Dennis I. Merino
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A note on complex matrices that are unitarily congruent to real matrices
, 2010 K. Ikramov
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Conpseudosimilarity and consemisimilarity over a division ring
, 1990 J. Bevis, Frank J. Hall, R. Hartwig
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Similarity and consimilarity of hyper‐dual generalized quaternions [PDF]
Mathematical Methods in the Applied SciencesThe 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$$ i,j,k $$ . We present i$$
Yasemin Alagöz, Gozde Ozyurt
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Advances in Applied Clifford Algebras, 2013
By means of complex representation and real representation of quaternion matrices, paper [7] studied the problem of diagonalization of quaternion matrices. This paper introduces two new complex representation and real representation of quaternion matrices, studies the problem of condiagonalization under consimilarity of quaternion matrices, and gives ...
Tongsong Jiang, Sitao Ling
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By means of complex representation and real representation of quaternion matrices, paper [7] studied the problem of diagonalization of quaternion matrices. This paper introduces two new complex representation and real representation of quaternion matrices, studies the problem of condiagonalization under consimilarity of quaternion matrices, and gives ...
Tongsong Jiang, Sitao Ling
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Similarity and Consimilarity Automorphisms of the Space of Toeplitz Matrices
Journal of Mathematical Sciences, 2019zbMATH Open Web Interface contents unavailable due to conflicting licenses.
A K Abdikalykov
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SIAM Journal on Matrix Analysis and Applications, 1988
Let \(M_ n\) be the set of all complex \(n\times n\) matrices and \(A\in M_ n\). The authors discuss the problem of triangularizing A by complex orthogonal similarity and consimilarity, i.e. factorizing \(A=Q\Delta Q^ T\) or \(A=Q\Delta Q^*\), where \(Q\in M_ n\) is complex orthogonal and \(\Delta \in M_ n\) upper triangular. It is proved that A can be
D. Choudhury, R. Horn
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Let \(M_ n\) be the set of all complex \(n\times n\) matrices and \(A\in M_ n\). The authors discuss the problem of triangularizing A by complex orthogonal similarity and consimilarity, i.e. factorizing \(A=Q\Delta Q^ T\) or \(A=Q\Delta Q^*\), where \(Q\in M_ n\) is complex orthogonal and \(\Delta \in M_ n\) upper triangular. It is proved that A can be
D. Choudhury, R. Horn
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On the Reduction of a Matrix to Triangular or Diagonal Form by Consimilarity
SIAM Journal on Algebraic and Discrete Methods, 1986The authors consider the transformation \(A\to SA\bar S^{-1}\) where S is nonsingular. They give a motivation for such an equivalence relation and then study the extent to which a diagonal or triangular canonical form can be obtained. This leads to natural analogs of spectral theory both for general S and for unitary S.
Yoopyo Hong, R. Horn
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