Results 21 to 30 of about 12,007 (165)

Beyond Moore-Penrose Part II: The Sparse Pseudoinverse [PDF]

open access: green, 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
openalex   +5 more sources

Boundary Value Problems for Delay Differential Systems

open access: yesAdvances in Difference Equations, 2010
Conditions are derived of the existence of solutions of linear Fredholm's boundary-value problems for systems of ordinary differential equations with constant coefficients and a single delay, assuming that these solutions satisfy the initial and ...
A. Boichuk   +3 more
doaj   +2 more sources

Design and Implementation of a Machine Learning State Estimation Model for Unobservable Microgrids

open access: yesIEEE Access, 2022
An observable microgrid may become unobservable when sensors are at fault, sensor data is missing, or data has been tampered by malicious agents.
Byron Alejandro Acuna Acurio   +4 more
doaj   +1 more source

Communication through coherent control of quantum channels [PDF]

open access: yes, 2020
A completely depolarising quantum channel always outputs a fully mixed state and thus cannot transmit any information. In a recent Letter [D. Ebler et al., Phys. Rev. Lett.
Abbott, Alastair A.   +4 more
core   +1 more source

A general iterative solver for unbalanced inconsistent transportation problems [PDF]

open access: yesArchives of Transport, 2016
The transportation problem, as a particular case of a linear programme, has probably the highest relative frequency with which appears in applications. At least in its classical formulation, it involves demands and supplies.
Doina Carp   +2 more
doaj   +1 more source

On the properties of a matrix valued derivative utilizing the Moore-Penrose inverse [PDF]

open access: yes, 1977
Utilizing the Moore/Penrose pseudoinverse to generalize invertibility in the set of matrices, the standard difference quotient in the univariate calculus is generalized to [ƒ (X + H) − ƒ (X)]H+, where ƒ is a matrix valued function and H+ denotes the ...
Hallum, C.R.   +2 more
core   +1 more source

Kernel and Range Approach to Analytic Network Learning

open access: yesInternational Journal of Networked and Distributed Computing (IJNDC), 2018
A novel learning approach for a composite function that can be written in the form of a matrix system of linear equations is introduced in this paper.
Kar-Ann Toh
doaj   +1 more source

Weaker assumptions for convergence of extended block Kaczmarz and Jacobi projection algorithms

open access: yesAnalele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2017
Recent developments in the field of image reconstruction have given rise to the use of projective iterative methods, such as Kaczmarz and Jacobi, when solving inconsistent linear least squares problems. In this paper we try to generalize previous results
Carp Doina   +2 more
doaj   +1 more source

A Hadamard-type open map theorem for submersions and applications to completeness results in Control Theory [PDF]

open access: yes, 2015
We prove a quantitative openness theorem for $C^1$ submersions under suitable assumptions on the differential. We then apply our result to a class of exponential maps appearing in Carnot-Carath\'eodory spaces and we improve a classical completeness ...
Bonfiglioli, Andrea   +2 more
core   +1 more source

Pseudoinverse formulation of Rayleigh-Schrödinger perturbation theory for the symmetric matrix eigenvalue problem

open access: yesJournal of Applied Mathematics, 2003
A comprehensive treatment of Rayleigh-Schrödinger perturbation theory for the symmetric matrix eigenvalue problem is furnished with emphasis on the degenerate problem. The treatment is simply based upon the Moore-Penrose pseudoinverse thus distinguishing
Brian J. McCartin
doaj   +1 more source

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