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Algebraic techniques for eigenvalues and eigenvectors of a split quaternion matrix in split quaternionic mechanics

Computer Physics Communications, 2018
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Tongsong Jiang   +2 more
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Matrix splittings and generalized inverses

Publicationes Mathematicae Debrecen, 2009
Summary: We introduce a splitting of the class of square singular complex matrices induced by its inner inverses in two ways: using the Jordan normal form, and using the concept of condiagonalizability. Then, we use the introduced splitting to prove a special case of Harte's theorem [\textit{R. Harte}, Proc. Am. Math. Soc.
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Isotopic splitting in matrix isolated BF3

Chemical Physics Letters, 1971
Abstract Small isotopic frequency shift information, if precisely determined, provides an effective constraint on intramolecular force fields. The most precise data for these frequency shift parameters Δν are derived from high resolution, gas-phase infrared spectral analyses.
I.W. Levin, S. Abramowitz
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The polarizability matrix of split-ring resonators

Moscow University Physics Bulletin, 2011
The resonance behavior of electric and magnetic dipole moment amplitudes that are induced in metallic nanoparticles by the scattering of incident light was obtained by numerical simulation. For a split-ring resonator a full set of polarizability matrix components, including magnetoelectric coupling parameters (bianisotropy), were calculated.
Y. E. Terekhov   +2 more
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Algebraic techniques for diagonalization of a split quaternion matrix in split quaternionic mechanics

Journal of Mathematical Physics, 2015
In the study of the relation between complexified classical and non-Hermitian quantum mechanics, physicists found that there are links to quaternionic and split quaternionic mechanics, and this leads to the possibility of employing algebraic techniques of split quaternions to tackle some problems in complexified classical and quantum mechanics.
Tongsong Jiang   +2 more
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On parameterized matrix splitting preconditioner for the saddle point problems

International Journal of Computer Mathematics, 2018
ABSTRACTIn this paper, we present a parameterized matrix splitting (PMS) preconditioner for the large sparse saddle point problems. The preconditioner is based on a parameterized splitting of the saddle point matrix, resulting in a fixed-point iteration.
Q. Q. Zheng, L. Z. Lu
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A Note on P-Regular Splitting of Hermitian Matrix

SIAM Journal on Matrix Analysis and Applications, 2000
Summary: The author examines the spectral property of the iteration matrix induced by the \(P\)-regular splitting of an invertible Hermitian matrix. It is shown by a second-order example that a theorem about the spectral radius of the ieration matrix, given by \textit{F. B. Weissler} [SIAM J. Matrix Anal. Appl. 16, No. 2, 448-461 (1995; Zbl 0827.65035);
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Neutrosophic Split Quaternions and Their Matrix Forms

Abstract: In this study, we developed a new approach to split quaternions using neutrosophic sets, which have recently gained attention in mathematics, and examined some properties of neutrosophic split quaternions. We also provided the matrix form of these new quaternions.
Tetik, Ceremnur, Dertli, Abdullah
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Bs-SpMM:Accelerate Sparse Matrix-Matrix Multiplication by Balanced Split Strategy on the GPU

IEEE INFOCOM 2023 - IEEE Conference on Computer Communications Workshops (INFOCOM WKSHPS), 2023
Mingfeng Guo   +10 more
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