Publications related to Root-finding algorithms

Substructured Two-grid and Multi-grid Domain Decomposition Methods

Two-level domain decomposition methods are very powerful techniques for the efficient numerical solution of partial differential equations (PDEs). A two-level domain decomposition method requires two main components: a one-level preconditioner (or its corr ...

2021

On the preconditioning of the INTERNODES matrix for applications in contact mechanics

In this paper, we extend the work of Günther-Hanssen (2020) in applying the INTERNODES method to problems in contact mechanics. In an initial work on this topic, Günther-Hanssen showed that the INTERNODES method could be successfully applied but also revea ...

2021

Highly localized azimuthal measurements in the CROCUS reactor towards the validaiton of high-fidelity neutronics codes

Andreas Pautz, Vincent Pierre Lamirand, Pavel Frajtag, Fanny Vitullo

Highly localized in-core measurements are necessary for the validation of neutron transport calculations with high spatial resolution. In the present work, a miniature neutron detector developed at EPFL in collaboration with PSI was used to carry out a set ...

2021

Support and approximation properties of Hermite splines

Michaël Unser, Julien René Pierre Fageot, Virginie Sophie Uhlmann, Shayan Aziznejad

In this paper, we formally investigate two mathematical aspects of Hermite splines that are relevant to practical applications. We first demonstrate that Hermite splines are maximally localized, in the sense that the size of their support is minimal among ...

2020

Design and control of a prototype structure that adapts to loading through large shape changes

Ian Smith, Gennaro Senatore, Arka Prabhata Reksowardojo, Apoorv Srivastava

This paper reports on experimental testing that was carried out on a prototype adaptive structure designed to counteract the effect of loading through controlled large shape changes. The prototype is 6.6 m truss equipped with 12 linear actuators which has ...

ELSEVIER2020

System-level, Input-output and New Parameterizations of Stabilizing Controllers, and Their Numerical Computation

Maryam Kamgarpour, Luca Furieri, Na Li

It is known that the set of internally stabilizing controller

\mathcal{C}_{\text{stab}}

is non-convex, but it admits convex characterizations using certain closed-loop maps: a classical result is the {Youla parameterization}, and two recent notions are t ...

2020

Global Auto-regressive Depth Recovery via Iterative Non-local Filtering

Pascal Frossard, Jingyu Yang, Xinchen Ye

Existing depth sensing techniques have many shortcomings in terms of resolution, completeness, and accuracy. The performance of 3-D broadcasting systems is therefore limited by the challenges of capturing high-resolution depth data. In this paper, we prese ...

IEEE2019

Exact Diffusion for Distributed Optimization and Learning-Part I: Algorithm Development

Ali H. Sayed, Bicheng Ying, Kun Yuan

This paper develops a distributed optimization strategy with guaranteed exact convergence for a broad class of left-stochastic combination policies. The resulting exact diffusion strategy is shown in Part II of this paper to have a wider stability range an ...

IEEE-INST ELECTRICAL ELECTRONICS ENGINEERS INC2019

Strengthening the Group: Aggregated Frequency Reserve Bidding With ADMM

Maryam Kamgarpour, John Lygeros, Xiaojing Zhang

In a power grid, the electricity supply and demand must be balanced at all times to maintain the system's frequency. In practice, the grid operator achieves this balance by procuring frequency reserves in an ahead-of-time market setting. During runtime, th ...

2019

A disaggregate choice-based approach to find epsilon-equilibria of oligopolistic markets

Michel Bierlaire, Virginie Janine Camille Lurkin, Stefano Bortolomiol

We present a general framework to find epsilon-equilibrium solutions of oligopolistic markets in which demand is modeled at the disaggregate level using discrete choice models. Consumer choices are modeled according to random utility theory, and the choice ...

2019

Root-finding algorithms

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Substructured Two-grid and Multi-grid Domain Decomposition Methods

On the preconditioning of the INTERNODES matrix for applications in contact mechanics

Highly localized azimuthal measurements in the CROCUS reactor towards the validaiton of high-fidelity neutronics codes

Support and approximation properties of Hermite splines

Design and control of a prototype structure that adapts to loading through large shape changes

System-level, Input-output and New Parameterizations of Stabilizing Controllers, and Their Numerical Computation

Global Auto-regressive Depth Recovery via Iterative Non-local Filtering

Exact Diffusion for Distributed Optimization and Learning-Part I: Algorithm Development

Strengthening the Group: Aggregated Frequency Reserve Bidding With ADMM

A disaggregate choice-based approach to find epsilon-equilibria of oligopolistic markets

Substructured Two-grid and Multi-grid Domain Decomposition Methods

On the preconditioning of the INTERNODES matrix for applications in contact mechanics

Highly localized azimuthal measurements in the CROCUS reactor towards the validaiton of high-fidelity neutronics codes

System-level, Input-output and New Parameterizations of Stabilizing Controllers, and Their Numerical Computation

Support and approximation properties of Hermite splines

Design and control of a prototype structure that adapts to loading through large shape changes

Global Auto-regressive Depth Recovery via Iterative Non-local Filtering

Exact Diffusion for Distributed Optimization and Learning-Part I: Algorithm Development

Strengthening the Group: Aggregated Frequency Reserve Bidding With ADMM

A disaggregate choice-based approach to find epsilon-equilibria of oligopolistic markets