Results 41 to 50 of about 1,502,182 (290)
Representations of group rings and groups [PDF]
International Journal of Group Theory, 2018 An isomorphism between the group ring of a finite group and a ring of certain block diagonal matrices is established. It is shown that for any group ring matrix $A$ of $mathbb{C} G$ there exists a matrix $U$ (independent of $A$) such that $U^{-1}AU= diag(
Ted Hurley
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Coarse-Grained Pruning of Neural Network Models Based on Blocky Sparse Structure
Entropy, 2021 Deep neural networks may achieve excellent performance in many research fields. However, many deep neural network models are over-parameterized. The computation of weight matrices often consumes a lot of time, which requires plenty of computing resources.
Lan Huang +5 more
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The polar decomposition of block companion matrices [PDF]
, 2005 Let L(λ) = Inλm + Am−1λm−1 + …+A1λ + A0 be an n × n monic matrix polynomial, and let CL be the corresponding block companion matrix. In this note, we extend a known result on scalar polynomials to obtain a formula for the polar decomposition of CL when ...
Psarrakos, P +3 more
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Algebraic and toroidal representation of the genetic code
Frontiers in Applied Mathematics and StatisticsThe genetic code is a set of regulatory principles that control the translation of information encoded in messenger RNA (mRNA) into a sequence of amino acids.
Rodrigo Rodríguez-Gutiérrez +3 more
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Block-encoding structured matrices for data input in quantum computing [PDF]
QuantumThe cost of data input can dominate the run-time of quantum algorithms. Here, we consider data input of arithmetically structured matrices via $\textit{block encoding}$ circuits, the input model for the quantum singular value transform and related ...
Christoph Sünderhauf +2 more
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Applied Sciences, 2022 The sparse matrix–vector product (SpMV), considered one of the seven dwarfs (numerical methods of significance), is essential in high-performance real-world scientific and analytical applications requiring solution of large sparse linear equation systems,
Muhammad Ahmed +6 more
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Dynamical System Stability Criteria Based on the Frobenius Norm
AppliedMathIt is well known that the position of the Jacobian matrix spectrum in the left-half complex plane provides the local asymptotic stability of a nonlinear dynamical system, but it is also well known that for large matrices, computing its eigenvalues just ...
Dragana Cvetković, Ernest Šanca
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A Family of Maximal Algebras of Block Toeplitz Matrices
Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2018 The maximal commutative subalgebras containing only Toeplitz matrices have been identified as generalized circulants. A similar simple description cannot be obtained for block Toeplitz matrices.
Khan Muhammad Ahsan
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Block Jacobi matrices and Titchmarsh-Weyl function [PDF]
Opuscula MathematicaWe collect some results and notions concerning generalizations for block Jacobi matrices of several concepts, which have been important for spectral studies of the simpler and better known scalar Jacobi case.
Marcin Moszyński, Grzegorz Świderski
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The Inverses of Block Hankel and Block Toeplitz Matrices [PDF]
SIAM Journal on Computing, 1990 A set of new formulae for the inverse of a block Hankel (or block Toeplitz) matrix is given. The formulae are expressed in terms of certain matrix Pade forms, which approximate a matrix power series associated with the block Hankel matrix.By using Frobenius-type identities between certain matrix Pade forms, the inversion formulae are shown to ...
George Labahn +2 more
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