Results 51 to 60 of about 167 (63)
On the Reduction of a Matrix to Triangular or Diagonal Form by Consimilarity
SIAM Journal on Algebraic Discrete Methods, 1986 The 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.
Yoo Pyo Hong, 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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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
Dipa Choudhury, Roger A. Horn
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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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2021 International Conference on Computer Science and Engineering (IC2SE), 2021 Andy Satria +2 more
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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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