On solving large sparse linear systems arising from linear programming

Name: On solving large sparse linear systems arising from linear programming
Brand: LAP Lambert Academic Publishing
SKU: 9783659763977
Price: 226.83 PLN
Availability: InStock

Autor: Venansius Baryamureeba, Trond Steihaug

Język:

Oprawa: Miękka

Wydawca: LAP Lambert Academic Publishing

Dostępność: Dostępna u dostawcy

Wysyłamy za 5-8 dni

226.83 zł

This book in Computer Science is tailored towards solving the standard linear programming problem an...

Informacje o książce

Autor

Venansius Baryamureeba, Trond Steihaug

Język

Angielski

Oprawa

Książka - Miękka

Data wydania

2018

strony

128

EAN

9783659763977

Enbook ID

19874254

Wydawca

LAP Lambert Academic Publishing

Waga

209

Wymiary

150 x 220 x 8

Pełny opis

This book in Computer Science is tailored towards solving the standard linear programming problem and the standard linear regression problem. First we p ose these problems as sequences of weighted linear systems We discuss a combination of a direct solver and an iterative solver for solving these sequences of weighted linear systems For this mixed solver approach a class of preconditioners based on low rank corrections is discussed and preconditioners constructed The choice of the low rank correction matrix is based on derived theoretical b ounds on the eigenvalues of the precondi toned matrix. In addition for linear programming we suggest a globally convergent in exact interior p oint algorithm Based on this algorithm we state a globally convergent mixed interior p oint algorithm that suits the class of preconditioners mentioned above. Furthermore for the case of linear regression we discuss another class of preconditioners based on downdating a constant factorized matrix at every iteration Also a new convex weighting function for linear regression is suggested and preconditioners based on this function discussed.

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