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The Moore–Penrose Pseudoinverse: A Tutorial Review of the Theory [PDF]
, 2011 In the last decades the Moore-Penrose pseudoinverse has found a wide range of applications in many areas of Science and became a useful tool for physicists dealing, for instance, with optimization problems, with data analysis, with the solution of linear
J. C. A. Barata, M. S. Hussein
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Beyond Moore-Penrose Part II: The Sparse Pseudoinverse [PDF]
, 2017 This is the second part of a two-paper series on generalized inverses that minimize matrix norms. In Part II we focus on generalized inverses that are minimizers of entrywise p norms whose main representative is the sparse pseudoinverse for $p = 1$.
Ivan Dokmanić, Rémi Gribonval
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Controlling cantilevered adaptive X-ray mirrors [PDF]
Journal of Synchrotron RadiationModeling the behavior of a prototype cantilevered X-ray adaptive mirror (held from one end) demonstrates its potential for use on high-performance X-ray beamlines.
Kenneth A. Goldberg, Kyle T. La Fleche
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Regression assessment of the model based on the experimental planning matrix in composite materials’ analysis problems [PDF]
E3S Web of Conferences, 2021 An automated coefficients calculation of the regression model based on the experimental data in the form of a planning matrix is considered. The calculations are based on polynomial regression with possible consideration of the interaction effects ...
Balatkhanova Elita +2 more
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Computing quaternion matrix pseudoinverse with zeroing neural networks
AIMS Mathematics, 2023 In recent years, it has become essential to compute the time-varying quaternion (TVQ) matrix Moore-Penrose inverse (MP-inverse or pseudoinverse) to solve time-varying issues in a range of disciplines, including engineering, physics and computer science ...
Vladislav N. Kovalnogov +6 more
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Open Journal of Mathematical Optimization, 2021 The M-P (Moore–Penrose) pseudoinverse has as a key application the computation of least-squares solutions of inconsistent systems of linear equations. Irrespective of whether a given input matrix is sparse, its M-P pseudoinverse can be dense, potentially
Fampa, Marcia, Lee, Jon, Ponte, Gabriel
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Applied Sciences, 2021 This paper presents modeling and infinite-time suboptimal control of a quadcopter device using the state-dependent Riccati equation (SDRE) method. It establishes a solution to the control problem using SDRE and proposes a new procedure for solving the ...
Sławomir Stępień +1 more
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Approximation of the Nonlinear B-H Curve by Complex Exponential Series
IEEE Access, 2020 The paper presents an accurate and simple method for the approximation of the nonlinear B-H curves using expansion into complex exponential series. The least-squares fit of the model is obtained by the application of the Moore-Penrose pseudoinverse.
Martin Dadic +2 more
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Frequency Interpolation of LOFAR Embedded Element Patterns Using Spherical Wave Expansion
International Journal of Antennas and Propagation, 2021 This paper describes the use of spherical wave expansion (SWE) to model the embedded element patterns of the LOFAR low-band array. The goal is to reduce the amount of data needed to store the embedded element patterns.
M. J. Arts +3 more
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Barometr Regionalny, 2018 The paper concerns certain pitfalls of using the Moore-Penrose pseudoinverse for estimating regression coefficients in linear regression models when the matrix of explanatory variables has not full column rank.
Anna Pajor
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