Results 21 to 30 of about 12,127 (168)

Complex degenerate metrics in general relativity: a covariant extension of the Moore–Penrose algorithm

open access: yesEuropean Physical Journal C: Particles and Fields
The Moore–Penrose algorithm provides a generalized notion of an inverse, applicable to degenerate matrices. In this paper, we introduce a covariant extension of the Moore–Penrose method that permits to deal with general relativity involving complex non ...
Arthur Garnier, Emmanuele Battista
doaj   +2 more sources

Beyond Moore-Penrose: Sparse pseudoinverse [PDF]

open access: greenIEEE International Conference on Acoustics, Speech, and Signal Processing, 2013
Ivan Dokmanić   +2 more
openalex   +2 more sources

Regression assessment of the model based on the experimental planning matrix in composite materials’ analysis problems [PDF]

open access: yesE3S 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
doaj   +1 more source

A Note on Secure Computation of the Moore-Penrose Pseudoinverse and Its Application to Secure Linear Algebra

open access: closedAnnual International Cryptology Conference, 2007
Ronald Cramer, Eike Kiltz, Carles Padró
openalex   +2 more sources

Computing quaternion matrix pseudoinverse with zeroing neural networks

open access: yesAIMS 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
doaj   +1 more source

Trading off 1-norm and sparsity against rank for linear models using mathematical optimization: 1-norm minimizing partially reflexive ah-symmetric generalized inverses

open access: yesOpen 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
doaj   +1 more source

Modified Infinite-Time State-Dependent Riccati Equation Method for Nonlinear Affine Systems: Quadrotor Control

open access: yesApplied 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
doaj   +1 more source

Approximation of the Nonlinear B-H Curve by Complex Exponential Series

open access: yesIEEE 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
doaj   +1 more source

Frequency Interpolation of LOFAR Embedded Element Patterns Using Spherical Wave Expansion

open access: yesInternational 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
doaj   +1 more source

A Note on the UEK Method

open access: yesBarometr 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
doaj   +1 more source

Home - About - Disclaimer - Privacy