Publications related to Solution in radicals

A New Channel-Base Lightning Current Formula With Analytically Adjustable Parameters

The article provides a new channel-based current function, which aims at faithfully reproducing the salient parameters of lightning currents. All the model parameters can be set in a fully analytical way, guaranteeing the possibility of changing them (acco ...

2021

Pulay forces in density-functional theory with extended Hubbard functionals: From nonorthogonalized to orthogonalized manifolds

Nicola Marzari, Iurii Timrov, Matteo Cococcioni, Francesco Aquilante, Luca Binci

We present a derivation of the exact expression for Pulay forces in density-functional theory calculations augmented with extended Hubbard functionals and arising from the use of orthogonalized atomic orbitals as projectors for the Hubbard manifold. The de ...

AMER PHYSICAL SOC2020

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

Simulation of Time-Dependent Viscoelastic Fluid Flows by Spectral Elements

Azadeh Jafari

The research work reported in this dissertation is aimed to develop efficient and stable numerical schemes in order to obtain accurate numerical solution for viscoelastic fluid flows within the spectral element context. The present research consists in the ...

EPFL2011

EPnP: An Accurate O(n) Solution to the PnP Problem

Pascal Fua, Vincent Lepetit

We propose a non-iterative solution to the PnP problem-the estimation of the pose of a calibrated camera from n 3D-to-2D point correspondences-whose computational complexity grows linearly with n. This is in contrast to state-of-the-art methods that are O( ...

Springer Verlag2009

Closed-form solutions to stochastic switching problems

Erwan Morellec

This paper studies the price of an asset depending on both a fundamental and possible interventions of an authority. Using the martingale approach in continuous time, we provide closed-form solutions to switching problems involving irreversible, state depe ...

2008

The closed form solution of the inverse kinematic problem of 3r positioning manipulators

In this thesis we contribute to the inverse kinematics solution of serial positional manipulators with three rotational joints (3R). This type of linkage is frequently used for 6R manipulators, where three – mostly the last – joint axes intersect at one po ...

EPFL2005

Non-Uniform to Uniform Grid Conversion Using Least-Squares Splines

Michaël Unser, Thierry Blu

We propose a new technique to perform nonuniform to uniform grid conversion: first, interpolate using nonuniform splines, then project the resulting function onto a uniform spline space and finally, resample. We derive a closed form solution to the least-s ...

EURASIP2000

An Efficient Algorithm for a Bounded Errors-in-Variables Model

Ali H. Sayed

We pose and solve a parameter estimation problem in the presence of bounded data uncertainties. The problem involves a minimization step and admits a closed form solution in terms of the positive root of a secular equation. ...

Society for Industrial and Applied Mathematics1999

Solution in radicals

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A New Channel-Base Lightning Current Formula With Analytically Adjustable Parameters

Pulay forces in density-functional theory with extended Hubbard functionals: From nonorthogonalized to orthogonalized manifolds

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

Simulation of Time-Dependent Viscoelastic Fluid Flows by Spectral Elements

EPnP: An Accurate O(n) Solution to the PnP Problem

Closed-form solutions to stochastic switching problems

The closed form solution of the inverse kinematic problem of 3r positioning manipulators

Non-Uniform to Uniform Grid Conversion Using Least-Squares Splines

An Efficient Algorithm for a Bounded Errors-in-Variables Model

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

The closed form solution of the inverse kinematic problem of 3r positioning manipulators

An Efficient Algorithm for a Bounded Errors-in-Variables Model

Simulation of Time-Dependent Viscoelastic Fluid Flows by Spectral Elements

A New Channel-Base Lightning Current Formula With Analytically Adjustable Parameters

Closed-form solutions to stochastic switching problems

Pulay forces in density-functional theory with extended Hubbard functionals: From nonorthogonalized to orthogonalized manifolds

EPnP: An Accurate O(n) Solution to the PnP Problem

Non-Uniform to Uniform Grid Conversion Using Least-Squares Splines

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