Results 21 to 30 of about 75 (48)
Regularizing algorithm for mixed matrix pencils [PDF]
, 2017 P. Van Dooren (1979) constructed an algorithm for computing all singular summands of Kronecker’s canonical form of a matrix pencil. His algorithm uses only unitary transformations, which improves its numerical stability.
Tetiana Klymchuk, Klymchuk, Tetiana
core +1 more source
Consimilarity of hybrid number matrices and hybrid number matrix equations A˜X − XB = C [PDF]
This research aims to investigate the consimilarity of hybrid number matrices and to develop solutions for matrix equations associated with these numbers.
Çakır, Hasan
core +1 more source
On Mathematical and Physical Principles of Transformations of the Coherent Radar Backscatter Matrix [PDF]
, 2012 The congruential rule advanced by Graves for polarization basis transformation of the radar backscatter matrix is now often misinterpreted as an example of consimilarity transformation.
Carrea, Laura +2 more
core +1 more source
On the conjugate product of complex polynomial matrices
, 2011 In this paper, we propose a new operator of conjugate product for complex polynomial matrices. Elementary transformations are first investigated for the conjugate product.
Wu, A. +5 more
core +2 more sources
Méthode générale de résolution de la similarité conjuguée en polarimétrie radar
, 2022 National audienceThis work aims to offer a clear overview of equivalence relations applicable in radar polarimetry. The focus is on the conjugatesimilarity transformation, frequently mentioned and seldom used with the coherent decomposition methods.
Ciochina, Silviu +4 more
core +1 more source
A canonical form under ϕ-equivalence
, 1991 Let Mn denote the set of n-by-n complex matrices. Two matrices A,B ∈ Mn are said to be ϕ-equivalent if there is a nonsingular R ∈ Mn such that A = RBϕ(R), where ϕ:Mk → Mk satisfies: (1) ϕ(ϕ(X)) = X, (2) ϕ(XY) = ϕ(Y)ϕ(X), and (3) either ϕ(X⊕Y) = ϕ(X)⊕ϕ(Y)
Hong, Yoopyo
core +1 more source
Stratification theory of matrix pairs under equivalence and contragredient equivalence [PDF]
, 2019 We develop the theory of perturbations of matrix pencils basing on their miniversal deformations. Several applications of this theory are given. All possible Kronecker pencils that are canonical forms of pencils in an arbitrary small neighbourhood of ...
Klymchuk, Tetiana
core +1 more source
A real-coninvolutory analog of the polar decomposition
, 1993 We study properties of coninvolutory matrices (EĒ = I), and derive a canonical form under similarity as well as a canonical form under unitary consimilarity for them.
Roger A. Horn, Dennis I. Merino
core +1 more source
Regularizing algorithm for mixed matrix pencils
P. Van Dooren (1979) constructed an algorithm for computing all singular summands of Kronecker’s canonical form of a matrix pencil. His algorithm uses only unitary transformations, which improves its numerical stability.
Klymchuk, Tetiana
core
Consimilarity Classification of General Radar Scattering Matrices.
, 1996 Fuer allgemeine Sinclair-Streumatrizen ergibt sich eine Klassifikation gegenueber unitaeren konjugierten Aehnlichkeitstransformationen nach der Anzahl der konjugierten Eigenwerte: 2 (Normallfall), 1 oder 0.
Boerner, W.-M. *) (Vortragender) +1 more
core