Results 11 to 20 of about 3,388 (249)
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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Numerical Linear Algebra and the Applications [PDF]
, 2021 Numerical linear algebra is a very important topic in mathematics and has important recent applications in deep learning, machine learning, image processing, applied statistics, artificial intelligence and other interesting modern applications in many ...
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Inverse eigenvalue and related problems for hollow matrices described by graphs
, 2022 A hollow matrix described by a graph G is a real symmetric matrix having all diagonal entries equal to zero and with the off-diagonal entries governed by the adjacencies in G.
Gershkoff, Zachary +4 more
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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.
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Discrete Geometric Homogenisation and Inverse Homogenisation of an Elliptic Operator [PDF]
, 2008 We show how to parameterise a homogenised conductivity in R² by a scalar function s(x), despite the fact that the conductivity parameter in the related up-scaled elliptic operator is typically tensor valued.
Donaldson, Roger David
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A Pair of Smarandachely Isotopic Quasigroups and Loops of the Same Variety [PDF]
, 2008 The isotopic invariance or universality of types and varieties of quasigroups and loops described by one or more equivalent identities has been of interest to researchers in loop theory in the recent past.
Gbolahan, Temitope +1 more
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Journal of Geodetic Science, 2013 Array algebra of photogrammetry and geodesy unified multi-linear matrix and tensor operators in an expansion of Gaussian adjustment calculus to general matrix inverses and solutions of inverse problems to find all, or some optimal, parametric solutions ...
Rauhala U. A.
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A Variational Non-Linear Constrained Model for the Inversion of FDEM Data
, 2021 Inverse problems arise in many fields of science and engineering like, e.g., astronomy, medicine, geophysics, imaging, and machine learning. We are faced with an inverse problem whenever we wish to reconstruct an unknown signal from some measured data ...
Diaz de Alba, Patricia
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MathematicsA symbolic method is presented for examining the solvability and constructing the exact solution to boundary value problems for systems of linear ordinary loaded differential equations and loaded integro-differential equations with nonlocal boundary ...
Efthimios Providas +2 more
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A Quasi Monte Carlo Method for Large-Scale Inverse Problems [PDF]
, 2012 In Monte Carlo and Quasi-Monte Carlo Methods 2010. Springer Proceedings in Mathematics & Statistics, vol 23 (2012)We consider large-scale linear inverse problems with a simulation-based algorithm that approximates the solution within a low-dimensional ...
Mengdi Wang +5 more
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