Results 171 to 180 of about 115,536 (214)
Rational design of a self-cleaning PES/UiO-66-NH<sub>2</sub>@g-C<sub>3</sub>N<sub>4</sub> mixed-matrix membrane for high-efficiency oil-water separation. [PDF]
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The Chebyshev wavelets operational matrix of integration and product operation matrix
International Journal of Computer Mathematics, 2009Operational matrices of integration and product based on Chebyshev wavelets are presented. A general procedure for forming these matrices is given. These matrices play an important role in modelling of problems. Numerical examples are given to demonstrate applicability of these matrices.
M Tavassoli Kajani, M Ghasemi
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Communications of the ACM, 1962
It is unfortunate that almost all of the presently used algebraic languages do not provide the capability of linear algebra. Operations such as the inner product of vectors, the product of two matrices, and the multiplication of a matrix by a scaler must inevitably be written out in detail in terms of the individual components.
Bernard A. Galler, Alan J. Perlis
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It is unfortunate that almost all of the presently used algebraic languages do not provide the capability of linear algebra. Operations such as the inner product of vectors, the product of two matrices, and the multiplication of a matrix by a scaler must inevitably be written out in detail in terms of the individual components.
Bernard A. Galler, Alan J. Perlis
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Design Space Exploration of Matrix–Matrix Convolution Operation
Journal of Circuits, Systems and Computers, 2021Convolution is an important operation in neural networks which, in recent years, received significant attention from the researchers thanks to its ability to handle complex tasks such as image processing, computer vision in an efficient manner. In general, the convolution operation in neural networks considers two matrices as inputs: an image matrix ...
Piyalee Behera, Arighna Deb
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Matrix operations in Random Permutation Set
Information Sciences, 2023zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Wenran Yang, Yong Deng 0001
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Multiplication operator on a matrix polynomial
Ukrainian Mathematical Journal, 1992Summary: It is shown, how the study of the perturbed multiplication operator by a matrix polynomial in the space \(L_ 2(\mathbb{R},\mathbb{C}^ n)\) can be reduced to the study of the perturbed multiplication operator by the independent variable in the space \(L_ 2(\mathbb{R},\omega,\mathbb{C}^ n)\) with weight \(\omega\), fulfilling the Muckenhoupt ...
Mikityuk, Ya. V., Al'-Tundzhi, M.
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Matrix formulation of vector operations
Applied Mathematics and Computation, 2005zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Preconditioning the Matrix Exponential Operator with Applications
Journal of Scientific Computing, 1998The paper deals with two classes for preconditioning the matrix exponential operator \(e^Ay_0\). The first technique reduces the computation of the exponential operator for problems of approximation of an integral involving the exponential of a preconditioner for \(A\) and this integral is approximated by means of Krylov subspace approximations.
Paul Castillo 0001, Yousef Saad
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Dissipative Schrödinger Operators with Matrix Potentials
Potential Analysis, 2004Lax-Phillips scattering theory and Nagy-Foias' theory of functional models are used for the study of the spectral properties of maximal dissipative extensions of the minimal operator \(L_{0}\) generated by the differential expression \(-y''(x)+Q(x)y(x)\) on \((-\infty,\infty)\).
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A Preconditioning Matrix for the Chebyshev Differencing Operator
SIAM Journal on Numerical Analysis, 1987This paper proves theoretically the good behaviour of the preconditioning method where the preconditioning operator computes the first derivative at intermediate grid points and then shifts the values to the original grid points. The corresponding preconditioned eigenvalues are real and positive and lie between 1 to \(\pi\) /2.
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