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On the Reduction of a Matrix to Triangular or Diagonal Form by Consimilarity
SIAM Journal on Algebraic Discrete Methods, 1986 We study the problem of reducing a given n-by-n complex matrix A to triangular or diagonal form by a transformation of the form $A \to SA\bar S^{ - 1} $, where S is a nonsingular n-by-n complex matrix.
Yoo Pyo Hong, Roger A. Horn
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SIAM Journal on Matrix Analysis and Applications, 1988 Any matrix $A \in M_n $ (the n-by-n complex matrices) can be triangularized by unitary similarity, i.e., there is a factorization $A = U\Delta U^* $, where $U \in M_n $ is unitary and $\Delta \in M_n $ is upper triangular; this is the well-known Schur ...
Dipa Choudhury, Roger A. Horn
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Matrix Functions Consimilar to the Identity and Singular Integral Operators
Complex Analysis and Operator Theory, 2008 In this paper we establish the connection between singular integral operators with conjugation and matrix functions consimilar to the identity. We show that any matrix function consimilar to the identity is factorable (in some space L p ) if and only if it admits a special factorization, that we call antisymmetric, and that this antisymmetric ...
Viktor G. Kravchenko +2 more
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Mathematical methods in the applied sciences, 2023
In this study, firstly, algebraic properties for commutative elliptic octonions are studied. Then the definition and theorems related to similarity, consimilarity, semisimilarity, and consemisimilarity are given.
Arzu Sürekçi, Mehmet Ali Güngör
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In this study, firstly, algebraic properties for commutative elliptic octonions are studied. Then the definition and theorems related to similarity, consimilarity, semisimilarity, and consemisimilarity are given.
Arzu Sürekçi, Mehmet Ali Güngör
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Consimilarity Classification of General Radar Scattering Matrices.
, 1996 E. Lueneburg, W.‐M. Boerner
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The Consimilarity Transformation in Radar Polarimetry.
, 1996 E. Lueneburg, W.M. Boerner
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The matrix equation A X – XB = C and its special cases
, 1988The consistency and solutions of the matrix equations $A\bar X - XB = C$, $A\bar X \pm XA^T = C$, $A\bar X \pm XA^* = C$ are characterized. As a consequence it is shown that $A^T $ (respectively, $A^* $) may be obtained from A by a consimilarity ...
J. Bevis, Frank J. Hall, R. Hartwig
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