Results 21 to 30 of about 101 (55)
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.
core +1 more source
, 2023 Bu yayının lisans anlaşması koşulları tam metin açık erişimine izin vermemektedir.In this study, firstly, algebraic properties for commutative elliptic octonions are studied.
Arzu Sürekçi +4 more
core +1 more source
A note on complex matrices that are unitarily congruent to real matrices [PDF]
, 2010 Every square complex matrix is known to be consimilar to a real matrix. Unitary congruence is a particular type of consimilarity. We prove that a matrix A∈Mn(C) is unitarily congruent to a real matrix if and only if A is unitarily congruent to A¯ via a ...
Ikramov, Khakim D.
core +1 more source
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
On j-conjugate product of quaternion polynomial matrices
, 2013 In this paper, the concept of j-conjugate product over quaternion polynomial matrices is proposed. Further, some interesting properties of the proposed j-conjugate products are derived. By means of j-conjugate product, necessary and sufficient conditions
Wu, Ai-Guo +3 more
core +2 more sources
A real-coninvolutory analog of the polar decomposition [PDF]
, 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.
Merino, Dennis I. +3 more
core +1 more source
A canonical form under ϕ-equivalence [PDF]
, 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
Contragredient equivalence: A canonical form and some applications [PDF]
, 1995 Let A and C be m-by-n complex matrices, and let B and D be n-by-m complex matrices. The pair (A, B) is contragrediently equivalent to the pair (C, D) if there are square nonsingular complex matrices X and Y such that XAY−1 = C and YBX−1 = D ...
Merino, Dennis I., Horn, Roger A.
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
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.
G. Duan (23311228) +2 more
core +2 more sources