Results 11 to 20 of about 236 (80)
On the singular value decomposition of (skew-)involutory and (skew-)coninvolutory matrices
Special Matrices, 2020 The singular values σ > 1 of an n × n involutory matrix A appear in pairs (σ, 1σ{1 \over \sigma }). Their left and right singular vectors are closely connected. The case of singular values σ = 1 is discussed in detail. These singular values may appear in
Faßbender Heike, Halwaß Martin
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Some Equivalence Relations and Results over the Commutative Quaternions and Their Matrices
Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2017 In this paper, we give some equivalence relations and results over the commutative quaternions and their matrices. In this sense, consimilarity, semisimilarity, and consemisimilarity over the commutative quaternion algebra and commutative quaternion ...
Kosal Hidayet Huda, Tosun Murat
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The Division Ring Over Conjugate Product
IEEE Access, 2019 In this paper, we investigate the rational fractions in the framework of conjugate product and establish a division ring. Some conjugate properties on the proposed division ring are obtained, and the similarity and consimilarity properties are ...
Ai-Guo Wu, Hui-Zhen Wang, Yu Teng
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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.
T. Klymchuk
semanticscholar +5 more sources
Finite Iterative Algorithm for Solving a Complex of Conjugate and Transpose Matrix Equation [PDF]
Journal of Discrete Mathematics, Volume 2013, Issue 1, 2013., 2013 We consider an iterative algorithm for solving a complex matrix equation with conjugate and transpose of two unknowns of the form: A1VB1+C1WD1+A2V¯B2+C2W¯D2+A3VHB3+C3WHD3+A4VTB4 + C4WTD4 = E. With the iterative algorithm, the existence of a solution of this matrix equation can be determined automatically.
Mohamed A. Ramadan +3 more
wiley +3 more sources
On (con)similarities and congruences between A and A^*, A^T or A
, 2008 In this paper, the consimilarity of complex matrices is generalized for the split quaternions. In this regard, coneigenvalue and coneigenvector are defined for split quaternion matrices. Also, the existence of solution to the split quaternion matrix equation X-AXB = C is characterized and the solution of the equation in the explicit form are derived ...
T. Or, J. Vermeer, R. Horn
semanticscholar +3 more sources
Consimilarity of quaternion matrices and complex matrices
Linear Algebra and Its Applications, 2001 Liping Huang
exaly +2 more sources
Modern Package Design Using Digital 3D Image Processing Technique
Mobile Information Systems, Volume 2022, Issue 1, 2022., 2022 In the extensive age, dear designate perplexity and relatively supercilious show charge in the traditive parcel extend project composition, the double discriminator GAN is ply to the bale work indicate composition. On the basis of BicycleGAN, a topic discriminator is added, and the analogous privation sine and external province are reformed.
Shengying Feng +5 more
wiley +1 more source
Roth’s solvability criteria for the matrix equations AX - XB^ = C and X - AXB^ = C over the skew field of quaternions with aninvolutive automorphism q ¿ qˆ [PDF]
, 2016 The matrix equation AX-XB = C has a solution if and only if the matrices A C 0 B and A 0 0 B are similar. This criterion was proved over a field by W.E. Roth (1952) and over the skew field of quaternions by Huang Liping (1996). H.K. Wimmer (1988)
Futorny, Vyacheslav +2 more
core +3 more sources