Results 251 to 260 of about 501,769 (296)

Split Quaternion Matrix Representation of Dual Split Quaternions and Their Matrices

Advances in Applied Clifford Algebras, 2015
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Erdoğdu, Melek, Özdemir, Mustafa
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Split‐type octonion matrix

Mathematical Methods in the Applied Sciences, 2018
The split and hyperbolic (countercomplex) octonions are eight‐dimensional nonassociative algebras over the real numbers, which are in the form , where em's have different properties for them. The main purpose of this paper is to define the split‐type octonion and its matrix whose inputs are split‐type octonions and give some properties for them by ...
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Split matrix quantization of LPC parameters

IEEE Transactions on Speech and Audio Processing, 1999
This paper examines in detail the design issues and performance characteristics of linear predictive coding (LPC) split matrix quantization (SMQ). This efficient LPC quantization method which was proposed by Xydeas and Papanastasiou (1995) can be viewed as an extension of the conventional split vector quantization (SVQ) process.
C.S. Xydeas, C. Papanastasiou
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Two Splittings of a Square Matrix

BIT Numerical Mathematics, 2003
The author shows that any square matrix \(A\) can be represented as the sum of \(A =\tilde S + \tilde T\), where \(\tilde S\) is a complex symmetric and rank\((\tilde T) \leq \lfloor\frac n 2\rfloor\). Additionally, this idea also applies to the persymmetric splitting of \(A\) by considering \(A\) as the sum of a Toeplitz matrix and a low rank matrix ...
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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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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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On the split quaternion matrix equation $$AX=B$$

Banach Journal of Mathematical Analysis, 2019
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Liu, Xin, He, Zhuo-Heng
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Modified Douglas splitting method for differential matrix equations

Journal of Computational and Applied Mathematics, 2021
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Chen, Hao, Wang, Ying
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