Unit:
Κατεύθυνση Εφαρμοσμένα ΜαθηματικάLibrary of the School of Science
Author:
Αντωνέλλου Θεοδοσία
Supervisors info:
Μαριλένα Μητρούλη Αναπλ. Καθηγήτρια
Original Title:
Μέθοδοι προβολής για την αριθμητική επίλυση γραμμικών συστημάτων
Translated title:
Projection methods for numerical solution linear systems
Summary:
This thesis subject is the projection methods for the numerical solution of
linear systems. Initially we will mention some basic definitions of Linear
Algebra and mention the definition of induced norm table and properties. Also
we will refer to orthogonal vectors and subspaces.The second chapter will
analyze some projection methods. More specifically, we will mention basic
definitions and algorithms projection techniques. The third chapter will refer
to the Krylov subspaces method and specifically analyze the Arnoldi method and
symmetric Lanczos Algorithm.Finally, numerical examples used various projection
methods.
Keywords:
Krylov algorithm , Arnoldi algorithm , Projection methods