scholarly journals The Gauss quadrature for general linear functionals, Lanczos algorithm, and minimal partial realization

2021 ◽  
Author(s):  
Stefano Pozza ◽  
Miroslav Pranić
Keyword(s):  
Gauss Quadrature ◽  
General Linear ◽  
Linear Functionals ◽  
Lanczos Algorithm ◽  
Minimal Partial Realization

Gauss quadrature for quasi-definite linear functionals

2016 ◽  
pp. dnw032 ◽  
Author(s):  
Stefano Pozza ◽  
Miroslav S. Pranić ◽  
Zdeněk Strakoš
Keyword(s):  
Gauss Quadrature ◽  
Linear Functionals

scholarly journals The Lanczos algorithm and complex Gauss quadrature

2018 ◽  
Vol 50 ◽  
pp. 1-19 ◽  
Author(s):  
Stefano Pozza ◽  
Miroslav S. Pranić ◽  
Zdeněk Strakoš
Keyword(s):  
Gauss Quadrature ◽  
Lanczos Algorithm

scholarly journals Complex Jacobi Matrices and Gauss Quadrature for Quasi-definite Linear Functionals

2015 ◽  
Author(s):  
Stefano Pozza ◽  
Miroslav Pranić ◽  
Zdenek Strakoš
Keyword(s):  
Orthogonal Polynomials ◽  
Positive Definite ◽  
Gauss Quadrature ◽  
Jacobi Matrices ◽  
Linear Functionals ◽  
Underlying Theory ◽  
Close Relationship

The Gauss quadrature can be formulated as a method for approximation of positive definite linear functionals. The underlying theory connects several classical topics including orthogonal polynomials and (real) Jacobi matrices. In the poster we investigated the problem of generalizing the concept of Gauss quadrature for approximation of linear functionals which are not positive definite. We showed that the concept can be generalized to quasi-definite functionals and based on a close relationship with orthogonal polynomials and complex Jacobi matrices.

EEG-fMRI: Including sleep-induced potentials in the general linear model improves spatial accordance with epileptic focus

2010 ◽  
Vol 41 (02) ◽  
Author(s):  
J Möhring ◽  
D Coropceanu ◽  
F Möller ◽  
S Wolff ◽  
R Boor ◽  
...  
Keyword(s):  
Linear Model ◽  
General Linear Model ◽  
General Linear ◽  
Epileptic Focus

Conserved Quantities for the General Linear Heat Equation

2016 ◽  
pp. 4437-4439
Author(s):  
Adil Jhangeer ◽  
Fahad Al-Mufadi
Keyword(s):  
Evolution Equation ◽  
Heat Equation ◽  
Conservation Laws ◽  
Exact Solutions ◽  
Lagrangian Approach ◽  
General Linear ◽  
Conserved Quantities ◽  
Linear Heat ◽  
The Family ◽  
Partial Lagrangian

In this paper, conserved quantities are computed for a class of evolution equation by using the partial Noether approach [2]. The partial Lagrangian approach is applied to the considered equation, infinite many conservation laws are obtained depending on the coefficients of equation for each n. These results give potential systems for the family of considered equation, which are further helpful to compute the exact solutions.

Sign in / Sign up

Export Citation Format

Share Document