A canonical form for matrices under consimilarity
Yoopyo Hong,Roger A. Horn +1 more
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In this article, the authors survey the known forms to which a given complex matrix may be reduced by unitary or general consimilarity and describe a canonical form to which it can be reduced.About:
This article is published in Linear Algebra and its Applications.The article was published on 1988-04-01 and is currently open access. It has received 74 citations till now. The article focuses on the topics: Square matrix & Hermitian matrix.read more
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A review of polarimetry in the context of synthetic aperture radar: concepts and information extraction
TL;DR: In this article, the authors provide an update of the polarimetric tools currently being used for optimum information extraction from polarIMetric synthetic aperture radar (SAR) images, including the use of coherent versus incoherent target decomposition and the practical limitations of these target decompositions.
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On a Solution of the Quaternion Matrix Equation \( X - A\tilde{X}B = C \)and Its Application
Tong Song Jiang,Mu Sheng Wei +1 more
TL;DR: In this article, the authors studied the solution of a complex matrix equation X - AXB = C, and derived closed-form solutions of the matrix equation in explicit forms by means of real representations of quaternion matrices.
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Contragredient equivalence: A canonical form and some applications
Roger A. Horn,Dennis I. Merino +1 more
TL;DR: In this paper, a complete set of invariants and an explicit canonical form for contragredient equivalence were developed and a sufficient condition for the existence of square roots of AB and BA was presented.
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Consimilarity of quaternion matrices and complex matrices
TL;DR: Using the consimilarity of quaternion matrices, the Jordan canonical form of a quaternions matrix is obtained, and a new way to discuss complex cons similarity of complex matrices is obtained.
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Book
Matrix Analysis
Roger A. Horn,Charles R. Johnson +1 more
TL;DR: In this article, the authors present results of both classic and recent matrix analyses using canonical forms as a unifying theme, and demonstrate their importance in a variety of applications, such as linear algebra and matrix theory.
Book
The Theory of Rings
TL;DR: In this paper, the authors considered the theory of rings in which both maximal and minimal conditions hold for ideals, except in the last chapter, where rings of the type of a maximal order in an algebra are considered.