Results 251 to 260 of about 505,655 (294)

On the convergence of splittings for a z-matrix

Applied Mathematics-A Journal of Chinese Universities, 1997
The author analyses the semiconvergence and convergence of varied splittings and provides some useful theorems for solving consistent linear systems.
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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.
Costas S. Xydeas, Charalampos Papanastasiou   +1 more
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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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Split Quaternion Matrix Representation of Dual Split Quaternions and Their Matrices

Advances in Applied Clifford Algebras, 2015
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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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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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A Set of Split-Matrix Ordered Walsh Functions

Journal of Circuits, Systems and Computers, 1997
A new set of Walsh functions is defined in terms of the split-matrix ordering. The intrinsic properties of the functions are analyzed. The relationship and the associated conversion rules between the newly defined functions and other typical Walsh functions are discussed.
K. F. Wan, P. C. Ching, C. K. Li
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A Splitting method for the calculation of the matrix exponential

Analysis, 1994
The computation of the exponential of an \(m \times m\)-matrix \(A\) arises as an important problem in numerical analysis and system theory. There is a number of methods proposed in the literature for this task. Most of those methods suffer from severe drawbacks. Under the more favourable methods there are the splitting or decomposition methods.
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A new Type of Matrix Splitting and its Applications

Acta Mathematica Hungarica, 2001
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Djordjević, D. S., Stanimirović, P. S.
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Modified Douglas splitting method for differential matrix equations

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