scholarly journals Regularization of an indefinite abstract interpolation problem with a quadratic constraint

2021 ◽  
pp. 475-490
Author(s):  
Santiago Gonzalez Zerbo ◽  
Alejandra Maestripieri ◽  
Francisco Martínez Pería
Keyword(s):  
Interpolation Problem ◽  
Quadratic Constraint ◽  
Abstract Interpolation Problem

scholarly journals Lidstone–Euler Second-Type Boundary Value Problems: Theoretical and Computational Tools

2021 ◽  
Vol 18 (5) ◽  
Author(s):  
Francesco Aldo Costabile ◽  
Maria Italia Gualtieri ◽  
Anna Napoli
Keyword(s):  
Boundary Value Problem ◽  
Boundary Conditions ◽  
Existence And Uniqueness ◽  
Interpolation Problem ◽  
Boundary Value ◽  
Computational Tools ◽  
Numerical Examples ◽  
Odd Order ◽  
Uniqueness Of The Solution ◽  
Type Boundary

AbstractGeneral nonlinear high odd-order differential equations with Lidstone–Euler boundary conditions of second type are treated both theoretically and computationally. First, the associated interpolation problem is considered. Then, a theorem of existence and uniqueness of the solution to the Lidstone–Euler second-type boundary value problem is given. Finally, for a numerical solution, two different approaches are illustrated and some numerical examples are included to demonstrate the validity and applicability of the proposed algorithms.

Rethinking factor analysis as an interpolation problem

Statistics ◽  
1988 ◽  
Vol 19 (3) ◽  
pp. 359-367 ◽  
Author(s):  
A. Van der linde
Keyword(s):  
Factor Analysis ◽  
Interpolation Problem
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