Results 51 to 60 of about 230,728 (169)
Journal of Mathematical Sciences and Modelling, 2020 In the present paper, formulas for the Rayleigh-quotient representation of the real parts, imaginary parts, and moduli of the eigenvalues of general matrices are obtained that resemble corresponding formulas for the eigenvalues of self-adjoint matrices ...
Ludwig Kohaupt
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Cost Function Approach for Dynamical Component Analysis: Full Recovery of Mixing and State Matrix
AutomationA reformulation of the dynamical component analysis (DyCA) via an optimization-free approach is presented. The original cost function approach is converted into a numerical linear algebra problem, i.e., the computation of coupled singular-value ...
Knut Hüper +2 more
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Improved singular value inclusion sets for rectangular tensors
Journal of Inequalities and ApplicationsIn this paper, improved singular value inclusion sets for rectangular tensors are given, which are tighter than those in (Zhao and Li in Linear Multilinear Algebra 66(7):1333–1350, 2018).
Jun He, Yanmin Liu
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MathematicsThis work introduces a sixth-order multi-step iterative algorithm for obtaining the matrix sign function of nonsingular matrices. The presented methodology employs optimized rational approximations combined with strategically formulated weight functions ...
Ce Zhang +4 more
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Antireflective Boundary Conditions for Deblurring Problems
Journal of Electrical and Computer Engineering, 2010 This survey paper deals with the use of antireflective boundary conditions for deblurring problems where the issues that we consider are the precision of the reconstruction when the noise is not present, the linear algebra related to these boundary ...
Marco Donatelli, Stefano Serra-Capizzano
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Journal of Mathematical Sciences and Modelling, 2019 In the present paper, formulas for the Rayleigh-quotient representation of the real parts, imaginary parts, and moduli of the eigenvalues of diagonalizable matrices are obtained that resemble corresponding formulas for the eigenvalues of self-adjoint ...
Ludwig Kohaupt
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Accurate Computations with Block Checkerboard Pattern Matrices
MathematicsIn this work, block checkerboard sign pattern matrices are introduced and analyzed. They satisfy the generalized Perron–Frobenius theorem. We study the case related to total positive matrices in order to guarantee bidiagonal decompositions and some ...
Jorge Delgado +2 more
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Inexact iterative numerical linear algebra for neural network-based spectral estimation and rare-event prediction. [PDF]
J Chem Phys, 2023 Strahan J +4 more
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Symbolic algorithm for solving SLAEs with multi-diagonal coefficient matrices
Discrete and Continuous Models and Applied Computational ScienceSystems of linear algebraic equations with multi-diagonal coefficient matrices may arise after many different scientific and engineering problems, as well as problems of the computational linear algebra where finding the solution of such a system of ...
Veneva Milena
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AxiomsThe approach to solving linear systems with structured matrices by means of the bidiagonal factorization of the inverse of the coefficient matrix is first considered in this review article, the starting point being the classical Björck–Pereyra algorithms
José-Javier Martínez
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