Results 21 to 30 of about 191,170 (252)
Index Reduction for Differential-algebraic Equations with Mixed Matrices [PDF]
Journal of the ACM, 2017 Differential-algebraic equations (DAEs) are widely used for the modeling of dynamical systems. The difficulty in numerically solving a DAE is measured by its differentiation index.
S. Iwata, Taihei Oki, Mizuyo Takamatsu
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Stability of quaternionic linear systems [PDF]
, 2006 The main goal of this paper is to characterize stability and bounded-input-bounded-output (BIBO)-stability of quaternionic dynamical systems. After defining the quaternion skew-field, algebraic properties of quaternionic polynomials such as divisibility ...
Pereira, Ricardo, Vettori, Paolo
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Quantum transfer matrices for discrete and continuous quasi-exactly solvable problems [PDF]
, 1994 We clarify the algebraic structure of continuous and discrete quasi-exactly solvable spectral problems by embedding them into the framework of the quantum inverse scattering method.
A. Erdelyi +27 more
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Second-Order Multi-Reference Algebraic Diagrammatic Construction Theory for Photoelectron Spectra of Strongly Correlated Systems. [PDF]
Journal of Chemical Theory and Computation, 2019 We present a second-order formulation of multi-reference algebraic diagrammatic construction theory [Sokolov, A. Yu. J. Chem. Phys. 2018, 149, 204113] for simulating photoelectron spectra of strongly correlated systems (MR-ADC(2)).
K. Chatterjee, A. Sokolov
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Actuators, 2021 An online algebraic estimation technique for natural and forcing frequencies for a class of uncertain and lumped-parameter vibrating mechanical systems with n degrees of freedom is described.
Gerardo Silva-Navarro +4 more
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Applications of the Moore-Penrose Generalized Inverse to Linear Systems of Algebraic Equations
American Journal of Applied Mathematics, 2019 In this work, we consider linear systems of algebraic equations. These systems are studied utilizing the theory of the Moore-Penrose generalized inverse or shortly (MPGI) of matrices.
A. M. Kanan +2 more
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Journal of Mathematical Chemistry, 2017 Extensions have been developed, of several variants of the stride of two cyclic reduction method. The extensions refer to quasi-tridiagonal linear equation systems involving two additional nonzero elements in the first and last rows of the equation ...
L. Bieniasz
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IEEE Access, 2019 Semi-tensor product of matrices (STP of matrices) is a new matrix product and has been successfully applied to many fields, especially to logical dynamic systems.
Jumei Yue, Yongyi Yan
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Interpretability and Representability of Commutative Algebra, Algebraic Topology, and Topological Spectral Theory for Real-World Data. [PDF]
Adv Intell DiscovThis article investigates how persistent homology, persistent Laplacians, and persistent commutative algebra reveal complementary geometric, topological, and algebraic invariants or signatures of real‐world data. By analyzing shapes, synthetic complexes, fullerenes, and biomolecules, the article shows how these mathematical frameworks enhance ...
Ren Y, Wei GW.
europepmc +2 more sources