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71.
Mathematical Programming - We propose a new method for simplifying semidefinite programs (SDP) inspired by symmetry reduction. Specifically, we show if an orthogonal projection map satisfies... 相似文献
72.
73.
Fiza Zafar Alicia Cordero Juan R. Torregrosa 《Mathematical Methods in the Applied Sciences》2020,43(14):7869-7884
Newton-Raphson method has always remained as the widely used method for finding simple and multiple roots of nonlinear equations. In the past years, many new methods have been introduced for finding multiple zeros that involve the use of weight function in the second step, thereby, increasing the order of convergence and giving a flexibility to generate a family of methods satisfying some underlying conditions. However, in almost all the schemes developed over the past, the usual way is to use Newton-type method at the first step. In this paper, we present a new two-step optimal fourth-order family of methods for multiple roots (m > 1). The proposed iterative family has the flexibility of choice at both steps. The development of the scheme is based on using weight functions. The first step can not only recapture Newton's method for multiple roots as special case but is also capable of defining new choices of first step. A stability analysis of some particular cases is also given to explain the dynamical behavior of the new methods around the multiple roots and decide the best values of the free parameters involved. Finally, we compare our methods with the existing schemes of the same order with a real life application as well as standard test problems. From the numerical results, we find that our methods can be considered as a better alternative for the existing procedures of same order. 相似文献
74.
Juan F. Navarro M.C. Martínez–Belda 《Mathematical Methods in the Applied Sciences》2020,43(5):2289-2300
In the N-body ring problem, we investigate the motion of a massless body interacting with N bodies of equal masses at the vertices of a regular polygon that rotates around a central mass. In this paper, we analyze the use of different surfaces of section in the numerical exploration of the escape in the N-body ring problem in order to get some conclusions about the geometry of the basins of escape in the corresponding configuration spaces. 相似文献
75.
Arboleda Paula A. Rincón Jesús Ma. González Oliver Carlos J. R. 《Journal of Thermal Analysis and Calorimetry》2022,147(21):11715-11728
Journal of Thermal Analysis and Calorimetry - A new set of iron-uranium phosphate glasses containing (1–20) UO2.67. (10–20) Fe2O3. (55–68) P2O5 (mass/%) were melted adequately.... 相似文献
76.
77.
Taili Liu Di Zhang Md Rashedul Huqe Wen Wang Juan Antonio Zapien Sai-Wing Tsang Jingdong Luo 《中国科学:化学(英文版)》2022,65(3):584-593
The determination of nonlinearities near the band edge of organic and polymeric electro-optic(EO)materials is important from the viewpoint of molecular nonlinear optics(NLO)and photonic device applications.Based on transmission-mode Stark effect electromodulation(EM)spectroscopy,we study the electric-field-induced changes in optical absorption and refraction of newly developed EO polymers from the visible to near-infrared(NIR)wavelengths and report record-high near-band-edge complex EO effects from poled thin films.Values ofΔn andΔk up to 10-3 and 10-2 are found at an applied electric field of 2.0×105-3.0×105V/cm.The study of linear optical properties of poled films by spectroscopic ellipsometry shows large polinginduced birefringence and a nearly two-fold increase in the extinction coefficients at the extraordinary polarization.Through the Kramers-Kronig analysis,we obtained the real and imaginary second-order nonlinear coefficients up to~3,500 and~5,600 pm/V,respectively,which are believed to be the highest NLO coefficients of poled polymers through the resonance enhancement.Our approach goes beyond the previous works,applicable only to several discrete wavelengths,to a full-spectral analysis with independent verification of slab waveguide measurements.By considering both the electroabsorption and electrorefraction effects,our study overcomes the limitation of the classic qualitative two-level model and provides a quantitative understanding of near-resonance optical nonlinearities of organic EO materials.It can inspire the exploration of high-speed,absorptive,or phase-shifting light-modulators using EO polymers for on-chip applications. 相似文献
78.
Maldonado-Bustamante Sara Roxana Mondaca-Fernndez Iram Gortares-Moroyoqui Pablo Berg Alex Balderas-Corts Jos de Jess Meza-Montenegro Mara Mercedes Brown-Bojrquez Francisco Arvayo-Enrquez Hctor 《Cellulose (London, England)》2022,29(13):7151-7161
Cellulose - The present study investigates the organosolv treatment of wheat straw, for the optimization of cellulose delignification, which will serve as raw material for the paper industry. The... 相似文献
79.
Juan Luis Vázquez Ivan Velazco-Cabral Dr. Marcos Flores-Álamo Gleb Turlakov Geraldina Rodríguez Dr. Ivana Moggio Dr. Eduardo Arias Dr. Eduardo Peña-Cabrera Dr. Miguel A. Vázquez 《Chemistry (Weinheim an der Bergstrasse, Germany)》2022,28(71):e202202446
A series of new symmetrical highly substituted BODIPYs 6 a – l was synthesized through a prefunctionalization approach in 35 %–89 % yields from the pyrrole core. This strategy allowed modulation of the substituents at the different positions based on the choice of Fischer's alkynyl carbenes, oxazolones and aldehydes used as precursors. The substituent variation at positions 2, 6, 3 and 5 had the greatest effect on the modulation of their photophysical properties such as absorption (λabs) and emission (λem) wavelengths, extinction coefficient (ϵ), quantum yields (ϕ), Stokes shifts (Δν), fluorescence decay, radiative (krad) and non-radiative (knr) constants and the CIE 1931 coordinates. Theoretical calculations allowed to corroborate the effect of the substituents of meso-position on the modification of the dihedral angles. Cyclic voltammetry studies revealed that the BODIPY series presents similar redox potential behavior, being electrochemically active even in successive cycles, which suggests that transport by diffusion is the dominant process. 相似文献
80.
Mathematical Programming - We consider stochastic programs conditional on some covariate information, where the only knowledge of the possible relationship between the uncertain parameters and the... 相似文献