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User Guide for Minpack-1

TLDR
A pack of FORTRAN subprograms for the numerical solution of nonlinear equations and nonlinear least-squares problems and this report provides an overview of the algorithms and software in the package.
Abstract
MINPACK-1 is a pack of FORTRAN subprograms for the numerical solution of nonlinear equations and nonlinear least-squares problems. This report provides an overview of the algorithms and software in the package, and includes the documentation and program listings.

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Citations
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Neuronale Netze zur Modellbildung in der Regelungstechnik

Michael Sturm
TL;DR: Modellbildung in der Regelungstechnik beduetet die moglichst gute Approximation eines technischen Prozesses durch ein mathematisches bzw.
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A method based on a dual frequency resonator to estimate physical parameters of superconductors from surface impedance measurements in a magnetic field

TL;DR: In this paper, a dual frequency resonator is used to estimate the crossover frequency of superconductors in a dc magnetic field, and a combined analytical and experimental approach that gives more accurate estimates for ν c is presented.
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Vancomycin hemodialysis: Clearance differences between high-flux hemodialysis and on-line hemodiafiltration.

TL;DR: Analyzing differences between vancomycin clearance (Kd) with high-flux hemodialysis (HFHD) and on-line hemodiafiltration (OL-HDF) and a variable volume dual pool mathematical model was developed to estimate the body clearance, extraction mass, and inter-compartment mass-transfer coefficient of each molecule.
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Detection of non-ordered central gas motions in a sample of four low surface brightness galaxies

TL;DR: In this article, integral field spectroscopy of the ionized gas in the central regions of four galaxies with a low surface brightness disk taken with the VISible Multi Object Spectrograph at the Very Large Telescope was aimed at testing the accuracy in the determination of the central logarithmic slope α of the mass density radial profile ρ(r) ∝ r α.
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Addition and removal energies of circular quantum dots.

TL;DR: Several many-body methods as applied to two-dimensional quantum dots with circular symmetry are presented and compared and the approximate ground state energy is calculated using a harmonic oscillator basis optimized by Hartree-Fock theory.
References
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Journal ArticleDOI

A Class of Methods for Solving Nonlinear Simultaneous Equations

TL;DR: In this article, the authors discuss certain modifications to Newton's method designed to reduce the number of function evaluations required during the iterative solution process of an iterative problem solving problem, such that the most efficient process will be that which requires the smallest number of functions evaluations.
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Testing Unconstrained Optimization Software

TL;DR: A relatwely large but easy-to-use collection of test functions and designed gmdelines for testing the reliability and robustness of unconstrained optimization software.
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Methods for modifying matrix factorizations.

TL;DR: Several methods are described for modifying Cholesky factors and a new algorithm is presented for modifying the complete orthogonal factorization of a general matrix, from which the conventional QR factors are obtained as a special case.