Results 31 to 40 of about 96,557 (302)
A note on optimal block-scaling of matrices
Elsner L. A note on optimal block-scaling of matrices. Numerische Mathematik. 1984;44(1):127-128.After pointing out that two recent results on optimal blockscaling are equivalent, a new short and simple proof of both results is ...
Elsner, Ludwig
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Factoring block Fiedler Companion Matrices
When Fiedler published his “A note on Companion matrices” in 2003 on Linear Algebra and its Applications, he could not have foreseen the significance of this elegant factorization of a companion matrix into essentially two-by-two Gaussian transformations,
Gianna M. Del Corso +7 more
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Algebraic and toroidal representation of the genetic code
The 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]
The 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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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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Precision of methods for calculating identity-by-descent matrices using multiple markers [PDF]
A rapid, deterministic method (DET) based on a recursive algorithm and a stochastic method based on Markov Chain Monte Carlo (MCMC) for calculating identity-by-descent (IBD) matrices conditional on multiple markers were compared using stochastic ...
Ricardo Pong-Wong +21 more
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Dynamical System Stability Criteria Based on the Frobenius Norm
It 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
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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Elsner L, Mehrmann V. Convergence of block iterative methods for linear systems arising in the numerical solution of Euler equations. Numerische Mathematik.
Mehrmann, Volker, Elsner, Ludwig
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Elementary triangular matrices and inverses of k-Hessenberg and triangular matrices
We use elementary triangular matrices to obtain some factorization, multiplication, and inversion properties of triangular matrices. We also obtain explicit expressions for the inverses of strict k-Hessenberg matrices and banded matrices. Our results can
Verde-Star Luis
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