Results 91 to 100 of about 41,020 (249)
Numerical Methods for Partial Differential Equations, Volume 41, Issue 4, July 2025.ABSTRACT We develop structure‐preserving numerical methods for the Serre–Green–Naghdi equations, a model for weakly dispersive free‐surface waves. We consider both the classical form, requiring the inversion of a nonlinear elliptic operator, and a hyperbolic approximation of the equations, allowing fully explicit time stepping.
H. Ranocha, M. Ricchiuto
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Moore-Penrose inverse of a hollow symmetric matrix and a predistance matrix
Special Matrices, 2016 By a hollow symmetric matrix we mean a symmetric matrix with zero diagonal elements. The notion contains those of predistance matrix and Euclidean distance matrix as its special cases.
Kurata Hiroshi, Bapat Ravindra B.
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Regression on fixed-rank positive semidefinite matrices: a Riemannian approach [PDF]
, 2011 The paper addresses the problem of learning a regression model parameterized by a fixed-rank positive semidefinite matrix. The focus is on the nonlinear nature of the search space and on scalability to high-dimensional problems.
Bonnabel, Silvere +2 more
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AIChE Journal, Volume 71, Issue 6, June 2025.Abstract Integrated dynamic scheduling (IDS) and economic nonlinear model predictive control (eNMPC) enable economic operation of chemical plants subject to volatile energy prices. Herein, we combine the two concepts into an integrated two‐layer scheme. Therein, IDS performs “long‐horizon” scheduling on a day‐ahead (DA) market and eNMPC “short‐horizon”
Jan C. Schulze +3 more
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Inequality between powers of positive semidefinite matrices
Linear Algebra and its Applications, 1994 AbstractFor p > 1 we present reasonable nonnegative functions f(t) on [0,∞) such that in the space of matrices 0 ⩽ A, B and B ⩽ f(A) imply Bp ⩽ Ap.
Fumio Hiai, Tsuyoshi Ando
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Multistable Physical Neural Networks
Advanced Intelligent Systems, Volume 7, Issue 6, June 2025.This article presents the integration of mechanical bistability into physical neural networks (PNNs), enabling memory retention and bridging computation with physical action. By mapping the equilibrium states of bistable, liquid‐filled chambers, it explores stability and introduces global and local training algorithms.
Ben‐Haim Eran +3 more
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Preserving positivity for rank-constrained matrices
, 2017 Entrywise functions preserving the cone of positive semidefinite matrices have been studied by many authors, most notably by Schoenberg [Duke Math. J. 9, 1942] and Rudin [Duke Math. J. 26, 1959].
Guillot, Dominique +2 more
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Safety Filters Against Actuator Attacks
International Journal of Robust and Nonlinear Control, Volume 35, Issue 9, Page 3640-3657, June 2025.ABSTRACT This manuscript focuses on mitigating the effect of deception attacks on control signals, that is, in the presence of an adversary that tampers with data coming from the controller to the system actuators in order to degrade the plant performance.
Cédric Escudero +4 more
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ON THE SET-SEMIDEFINITE REPRESENTATION OF NONCONVEX QUADRATIC PROGRAMS WITH CONE CONSTRAINTS
Croatian Operational Research Review, 2010 The well-known result stating that any non-convex quadratic problem over the non-negative orthant with some additional linear and binary constraints can be rewritten as linear problem over the cone of completely positive matrices (Burer, 2009) is ...
Gabriele Eichfelder, Janez Povh
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A Geometric Mean of Parameterized Arithmetic and Harmonic Means of Convex Functions
Abstract and Applied Analysis, 2012 The notion of the geometric mean of two positive reals is extended by Ando (1978) to the case of positive semidefinite matrices A and B. Moreover, an interesting generalization of the geometric mean A # B of A and B to convex functions was introduced by ...
Sangho Kum, Yongdo Lim
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