Results 21 to 30 of about 160,633 (221)

Category of nonlinear evolution equations, algebraic structure, and r-matrix [PDF]

, 2002
This paper deals with the category of nonlinear evolution equations (NLEEs) associated with the spectral problem and provides an approach for constructing their algebraic structure and $r$-matrix.
Ablowitz, Bowman, Burgers, Calogero, Cao, Cao, Cewen Cao, Drinfel’d, Gardner, Ji, Jimbo, Jimbo, Jimbo, Ma, Manakov, Orlov, Qiao, Qiao, Semenov-Tian-Shansky, Strampp, Strampp, Strampp, Wadati, Walter Strampp, Zakharov, Zhijun Qiao, Zhou   +26 more
core   +3 more sources

EP modular operators and their products [PDF]

, 2014
We study first EP modular operators on Hilbert C*-modules and then we provide necessary and sufficient conditions for the product of two EP modular operators to be EP. These enable us to extend some results of Koliha [{\it Studia Math.} {\bf 139} (2000),
Sharifi, Kamran
core   +1 more source

The Application of the Bidiagonal Factorization of Totally Positive Matrices in Numerical Linear Algebra

Axioms
The approach to solving linear systems with structured matrices by means of the bidiagonal factorization of the inverse of the coefficient matrix is first considered in this review article, the starting point being the classical Björck–Pereyra algorithms
José-Javier Martínez
doaj   +1 more source

Interior-point solver for convex separable block-angular problems [PDF]

, 2014
Constraints matrices with block-angular structures are pervasive in Optimization. Interior-point methods have shown to be competitive for these structured problems by exploiting the linear algebra.
Castro Pérez, Jordi
core  

An Algebraic Framework for the Real-Time Solution of Inverse Problems on Embedded Systems

, 2014
This article presents a new approach to the real-time solution of inverse problems on embedded systems. The class of problems addressed corresponds to ordinary differential equations (ODEs) with generalized linear constraints, whereby the data from an ...
Gugg, Christoph, Harker, Matthew, O'Leary, Paul, Rath, Gerhard   +3 more
core   +1 more source

Stress‐Normalized Sensitivity as a Comparative Benchmark for Intrinsically Piezoresistive Nanocomposite Materials in Wearable Electronics

Advanced Materials Technologies, EarlyView.
A stress‐normalised sensitivity metric (S = G/Y) is introduced as a materials‐level benchmark for intrinsically piezoresistive nanocomposites. By decoupling electromechanical response (G) from stiffness (Y), the framework enables direct comparison across diverse systems and clarifies design trade‐offs for wearable sensors.
Conor S. Boland
wiley   +1 more source

Composing and Factoring Generalized Green's Operators and Ordinary Boundary Problems

, 2013
We consider solution operators of linear ordinary boundary problems with "too many" boundary conditions, which are not always solvable. These generalized Green's operators are a certain kind of generalized inverses of differential operators.
A. Ben-Israel, A. Korporal, A. Korporal, A.A. Boichuk, D.G. Duffy, G. Regensburger, I. Stakgold, J. Groß, L. Guo, L. Guo, M. Rosenkranz, M. Rosenkranz, M. Rosenkranz, M. Rosenkranz, M. Rosenkranz, M.Z. Nashed, R.P. Agarwal, R.P. Agarwal, V.V. Bavula, V.V. Bavula, W.S. Loud   +20 more
core   +1 more source

New Fundamental Symmetries of Integrable Systems and Partial Bethe Ansatz [PDF]

, 1997
We introduce a new concept of quasi-Yang-Baxter algebras. The quantum quasi-Yang-Baxter algebras being simple but non-trivial deformations of ordinary algebras of monodromy matrices realize a new type of quantum dynamical symmetries and find an ...
A.G. Ushveridze, Baxter, Baxter, Brihaye, Drinfeld, Drinfeld, Faddeev, Faddeev, Faddeev, Gaudin, González-López, González-López, González-López, Jimbo, Jimbo, Jurčo, Korepin, Kulish, Kulish, Morozov, Olshanetsky, Shifman, Shifman, Sklyanin, Sklyanin, Sklyanin, Sklyanin, Sklyanin, Takhtajan, Tarasov, Tarasov, Turbiner, Turbiner, Turbiner, Ulyanov, Ushveridze, Ushveridze, Ushveridze, Ushveridze, Ushveridze, Ushveridze, Ushveridze, Yang, Yang, Zamolodchikov, Zamolodchikov, Zaslavsky   +46 more
core   +2 more sources

Physical Origin of Temperature Induced Activation Energy Switching in Electrically Conductive Cement

Advanced Science, EarlyView.
The temperature‐induced Arrhenius activation energy switching phenomenon of electrical conduction in electrically conductive cement originates from structural degradation within the biphasic ionic‐electronic conduction architecture and shows percolation‐governed characteristics: pore network opening dominates the low‐percolation regime with downward ...
Jiacheng Zhang, Xinyuan Ke, Andrew Heath, Richard J. Ball, Jiawei Xie, Jinchen Fan, Guisheng Li, Kevin Paine   +7 more
wiley   +1 more source

Exploring parameter dependence of atomic minima with implicit differentiation

npj Computational Materials
Interatomic potentials are essential to go beyond ab initio size limitations, but simulation results depend sensitively on potential parameters. Forward propagation of parameter variation is key for uncertainty quantification, whilst backpropagation has ...
Ivan Maliyov, Petr Grigorev, Thomas D. Swinburne   +2 more
doaj   +1 more source