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Saddle-Point Dynamics: Conditions for Asymptotic Stability of Saddle Points [PDF]
SIAM Journal on Control and Optimization, 2017 26 pages, To appear in SIAM Journal on Control and ...
Jorge Cortes +2 more
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The Saddle Point Problem of Polynomials [PDF]
Foundations of Computational Mathematics, 2021 AbstractThis paper studies the saddle point problem of polynomials. We give an algorithm for computing saddle points. It is based on solving Lasserre’s hierarchy of semidefinite relaxations. Under some genericity assumptions on defining polynomials, we show that: (i) if there exists a saddle point, our algorithm can get one by solving a finite ...
Guangming Zhou, Zi Yang, Jiawang Nie
exaly +4 more sources
Saddle point localization of molecular wavefunctions. [PDF]
Sci Rep, 2016 AbstractThe quantum mechanical description of isomerization is based on bound eigenstates of the molecular potential energy surface. For the near-minimum regions there is a textbook-based relationship between the potential and eigenenergies. Here we show how the saddle point region that connects the two minima is encoded in the eigenstates of the model
Mellau GCh +4 more
europepmc +10 more sources
A Preconditioner for Generalized Saddle Point Problems [PDF]
SIAM Journal on Matrix Analysis and Applications, 2004 The authors consider the solution of large scale sparse systems of linear algebraic equations of a generalized saddle point type, i.e., of systems of a block \(2 \times 2\) structure \[ \left ( \begin{matrix} A & B^T \\ B & -C \end{matrix}\right) \left (\begin{matrix} u \\ p \end{matrix}\right) = \left (\begin{matrix} f \\ g \end{matrix}\right ...
Michele Benzi, Gene H Golub
exaly +3 more sources
An infinite dimensional Saddle Point Theorem and application [PDF]
Boundary Value ProblemsBy using the τ-topology of Kryszewski and Szulkin, we establish a natural new version of the Saddle Point Theorem for strongly indefinite functionals.
Fabrice Colin, Ablanvi Songo
doaj +2 more sources
Saddle point approximation to Higher order [PDF]
Vojnotehnički Glasnik, 2022 Introduction/purpose: Saddle point approximation has been considered in the paper Methods: The saddle point method is used in several different fields of mathematics and physics.
Nicola Fabiano, Nikola Mirkov
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Kaczmarz method for saddle point systems [PDF]
E3S Web of Conferences, 2021 The Kaczmarz method is presented for solving saddle point systems. The convergence is analyzed. Numerical examples, compared with classical Krylov subspace methods, SOR-like method (2001) and recent modified SOR-like method (2014), show that the Kaczmarz
Wang Jinmei, Yin Lizi, Wang Ke
doaj +1 more source
Cancer Medicine, 2023 Background Patients with muscle‐invasive bladder cancer (MIBC) constitute a heterogenous group in terms of patient and tumour characteristics (‘case‐mix’) and prognosis.
Christel Häggström +4 more
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Journal of NeuroEngineering and Rehabilitation, 2021 Introduction After a stroke, a wide range of deficits can occur with varying onset latencies. As a result, assessing impairment and recovery are enormous challenges in neurorehabilitation. Although several clinical scales are generally accepted, they are
Belén Rubio Ballester +4 more
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Applied Sciences, 2021 Given the mutual information of finite-alphabet inputs cannot be calculated concisely and accurately over fading channels, this paper proposes a new method to calculate the mutual information.
Yuyu Liu, Jinbao Zhang, Dan Zhang
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