Publications related to System of linear equations

Raman Self-Frequency Shift of Dissipative Kerr Solitons in an Optical Microresonator

Tobias Kippenberg, Victor Brasch, Michail Zervas, Michael Wolfgang Geiselmann, Maxim Karpov, Hairun Guo, Martin Hubert Peter Pfeiffer, Arne Kordts

We experimentally observed the Raman-induced self-frequency shift of high-intensity dissipative Kerr solitons in high-Q silicon nitride microresonators. The Raman redshift is linearly dependent on the pump-frequency-detuning, associated with the tunability ...

Ieee2016

New method for lateral mapping of bimolecular recombination in thin-film organic solar cells

Wolfgang Richard Tress

The best organic solar cells are limited by bimolecular recombination. Tools to study these losses are available; however, they are only developed for small area (laboratory-scale) devices and are not yet available for large area (production-scale) devices ...

Wiley-Blackwell2016

A New Identity for the Least-square Solution of Overdetermined Set of Linear Equations

Afsaneh Asaei, Mohammadjavad Taghizadeh, Saeid Haghighatshoar

In this paper, we prove a new identity for the least-square solution of an over-determined set of linear equation

Ax=b

, where

A

is an

m\times n

full-rank matrix,

b

is a column-vector of dimension

m

, and

m

(the number of equations) is larger tha ...

2015

A New Identity for the Least-square Solution of Overdetermined Set of Linear Equations

Afsaneh Asaei, Mohammadjavad Taghizadeh, Saeid Haghighatshoar

In this paper, we prove a new identity for the least-square solution of an over-determined set of linear equation

Ax=b

, where

A

is an

m\times n

full-rank matrix,

b

is a column-vector of dimension

m

, and

m

(the number of equations) is larger tha ...

Idiap2015

Truncated low-rank methods for solving general linear matrix equations

Daniel Kressner, Petar Sirkovic

This work is concerned with the numerical solution of large-scale linear matrix equations A1XB1T++AKXBKT=C. The most straightforward approach computes XRmxn from the solution of an mn x mn linear system, typically limiting the feasible values of m,n to a f ...

Wiley-Blackwell2015

MATHICSE Technical Report: Reduced basis methods: from low-rank matrices to low-rank tensor

Daniel Kressner, Jonas Ballani

We propose a novel combination of the reduced basis method with low-rank tensor techniques for the efficient solution of parameter-dependent linear systems in the case of several parameters. This combination, called rb Tensor, consists of three ingredients ...

MATHICSE2015

Moment Semantics for Reversible Rule-Based Systems

Sandro Stucki

We develop a notion of stochastic rewriting over marked graphs – i.e. directed multigraphs with degree constraints. The approach is based on double-pushout (DPO) graph rewriting. Marked graphs are expressive enough to internalize the ‘no-dangling-edge’ con ...

Springer International Publishing2015

Dynamics of particles with anisotropic mass depending on time and position

Tudor Ratiu

Representations of solutions of equations describing the diffusion and quantum dynamics of particles in a Riemannian manifold are discussed under the assumption that the mass of particles is anisotropic and depends on both time and position. These equation ...

Springer Verlag2015

A Universal Law for Plasmon Resonance Shift in Biosensing

Olivier Martin

We drive an explict expression for the resonance frequency shift for a subwavelength plasmonic nanocavity upon the adsorption or trapping of a single nanoparticle using rigorous perturbation theory. It reveals a simple linear dependence of the resonance fr ...

Amer Chemical Soc2015

Phase estimation from noisy phase fringe patterns using linearly independent basis functions

Pramod Rastogi, Rishikesh Dilip Kulkarni

A novel technique is proposed for obtaining unwrapped phase estimation from a highly noisy exponential phase field. In this technique, the interference phase is represented as a linear combination of linearly independent and pre-defined basis functions alo ...

Iop Publishing Ltd2015

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Raman Self-Frequency Shift of Dissipative Kerr Solitons in an Optical Microresonator

New method for lateral mapping of bimolecular recombination in thin-film organic solar cells

A New Identity for the Least-square Solution of Overdetermined Set of Linear Equations

A New Identity for the Least-square Solution of Overdetermined Set of Linear Equations

Truncated low-rank methods for solving general linear matrix equations

MATHICSE Technical Report: Reduced basis methods: from low-rank matrices to low-rank tensor

Moment Semantics for Reversible Rule-Based Systems

Dynamics of particles with anisotropic mass depending on time and position

A Universal Law for Plasmon Resonance Shift in Biosensing

Phase estimation from noisy phase fringe patterns using linearly independent basis functions

New method for lateral mapping of bimolecular recombination in thin-film organic solar cells

Raman Self-Frequency Shift of Dissipative Kerr Solitons in an Optical Microresonator

A New Identity for the Least-square Solution of Overdetermined Set of Linear Equations

Moment Semantics for Reversible Rule-Based Systems

Truncated low-rank methods for solving general linear matrix equations

A New Identity for the Least-square Solution of Overdetermined Set of Linear Equations

MATHICSE Technical Report: Reduced basis methods: from low-rank matrices to low-rank tensor

Dynamics of particles with anisotropic mass depending on time and position

A Universal Law for Plasmon Resonance Shift in Biosensing

Phase estimation from noisy phase fringe patterns using linearly independent basis functions