Results 1 to 10 of about 2,797 (106)
PyLops—A linear-operator Python library for scalable algebra and optimization
SoftwareX, 2020 Linear operators and optimization are at the core of many algorithms used in signal and image processing, remote sensing, and inverse problems. For small to medium-scale problems, existing software packages (e.g., MATLAB, Python NumPy and SciPy) allow to
Matteo Ravasi, Ivan Vasconcelos
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Numerical linear algebra for reconstruction inverse problems
Journal of Computational and Applied Mathematics, 2004 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Abdeljalil Nachaoui
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Behavioral Sciences, 2022 Computer-based testing is an emerging method to evaluate students’ mathematics learning outcomes. However, algebra problems impose a high cognitive load due to requiring multiple calculation steps, which might reduce students’ performance in computer ...
Jing-Fong Wang +2 more
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The Convex algebraic geometry of linear inverse problems [PDF]
2010 48th Annual Allerton Conference on Communication, Control, and Computing (Allerton), 2010 We study a class of ill-posed linear inverse problems in which the underlying model of interest has simple algebraic structure. We consider the setting in which we have access to a limited number of linear measurements of the underlying model, and we propose a general framework based on convex optimization in order to recover this model.
Venkat Chandrasekaran +3 more
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Parallel multigrid method for solving inverse problems
MethodsX, 2022 We considered in this work the linear operator equation and used the Landweber iterative method as an iterative solver. After that, we used the multigrid method as an optimization method for obtaining an approximation solution with a highly accurate and ...
H.K. Al-Mahdawi +5 more
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Symbolic Computation Applied to Cauchy Type Singular Integrals
Mathematical and Computational Applications, 2021 The development of operator theory is stimulated by the need to solve problems emerging from several fields in mathematics and physics. At the present time, this theory has wide applications in the study of non-linear differential equations, in linear ...
Ana C. Conceição, Jéssica C. Pires
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Convex Formulations and Algebraic Solutions for Linear Quadratic Inverse Optimal Control Problems [PDF]
2018 European Control Conference (ECC), 2018 ISBN:978-1-5386-5303 ...
Marcel Menner, Melanie N. Zeilinger
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On Matrices with Only One Non-SDD Row
Mathematics, 2023 The class of H-matrices, also known as Generalized Diagonally Dominant (GDD) matrices, plays an important role in many areas of applied linear algebra, as well as in a wide range of applications, such as in dynamical analysis of complex networks that ...
Ksenija Doroslovački +1 more
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Groups, algebras, and the non-linearity of geophysical inverse problems [PDF]
Geophysical Journal International, 1997 SUMMARY Mathematical methods from the theory of continuous groups are used to determine whether a non-linear inverse problem, in the form of a functional, can be transformed into a linear inverse problem. If such transformations exist they can be constructed from the solutions of a linear system of differential equations.
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Multiparameter Inversion: Cramer's Rule for Pseudodifferential Operators
International Journal of Geophysics, 2011 Linearized multiparameter inversion is a model-driven variant of amplitude-versus-offset analysis, which seeks to separately account for the influences of several model parameters on the seismic response.
Rami Nammour, William W. Symes
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