The Drazin inverse of a semilinear transformation and its matrix representation [PDF]
, 1987 The Drazin inverse Td of a semilinear transformation T on Cn is studied.
Bevis, Jean H. +2 more
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Geometric polarimetry - part II: the Antenna Height Spinor and the Bistatic Scattering Matrix [PDF]
, 2017 This paper completes the fundamental development of the basic coherent entities in Radar Polarimetry for coherent reciprocal scattering involving polarized wave states, antenna states and scattering matrices. The concept of antenna polarization states as
Bebbington, David, Carrea, Laura
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SCATTERER CHARACTERIZATION BASED ON THE CONDIAGONALIZATION OF THE SINCLAIR BACKSCATTERING MATRIX
Progress In Electromagnetics Research M, 2019 In this paper, we revisit the condiagonalization of the Sinclair backscattering matrix, to overcome the Huynen decomposition issues, so as to correctly extract scatterer polarimetric properties. The correct extraction of scatterer polarimetric properties
G. Kouroupis, V. Anastassopoulos
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On the reduction of pairs of hermitian or symmetric matrices to diagonal form by congruence [PDF]
, 1986 Let A1, A2 be given n-by-n Hermitian or symmetric matrices, and consider the simultaneous transformations Ai→SAiS* if Ai is Hermitian or Ai→SAiST if Ai is symmetric.
Hong, Yoo Pyo +2 more
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Classification of pairs of rotations in finite-dimensional Euclidean space
, 2008 A rotation in a Euclidean space V is an orthogonal map on V which acts locally as a plane rotation with some fixed angle. We give a classification of all pairs of rotations in finite-dimensional Euclidean space, up to simultaneous conjugation with ...
Darpö, Erik
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The intersection of the similarity and conjunctivity equivalence classes [PDF]
, 2003 Let A be an n×n complex matrix. Let Sim(A) denote the similarity equivalence class of A, let Conj(A) denote the conjunctivity equivalence class of A, and let U(A) denote the unitary similarity equivalence class of A. Define CS(A)≡Sim(A)∩Conj(A).
Mills, Mark A.
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On condiagonalizable matrices [PDF]
, 2007 We call A∈Mn(C) a condiagonalizable matrix if AR=AA¯ (or, which is the same, AL=A¯A) is diagonalizable by a conventional similarity transformation. Our main result is that any condiagonalizable matrix can be brought by a consimilarity transformation to a
Ikramov, Khakim D.
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Iterative solutions to coupled Sylvester-conjugate matrix equations [PDF]
, 2010 This paper is concerned with iterative solutions to the coupled Sylvester-conjugate matrix equation with a unique solution. By applying a hierarchical identification principle, an iterative algorithm is established to solve this class of complex matrix ...
Duan, Guang-Ren +3 more
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How real is your matrix? [PDF]
, 2007 For scalars there is essentially just one way to define reality, real part and to measure nonreality. In this paper various ways of defining respective concepts for complex-entried matrices are considered.
Huhtanen, Marko
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Isotropy groups of the action of orthogonal *congruence on Hermitian matrices
, 2023 We present a procedure which enables the computation and the description of structures of isotropy subgroups of the group of complex orthogonal matrices with respect to the action of *congruence on Hermitian matrices.
Starčič, Tadej
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