On The Numerical Computation of Aᵅx=b

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Creator: 

Tian, Siming

Date: 

2020

Abstract: 

The paper, ODE-based double-preconditioning for solving linear systems A^{\alpha}x = b and f(A)x = b, by Antoine and Lorin [5], introduces different types of precon- ditioners for efficiently computing large sparse systems Ax = b. In this thesis, we introduce the notion of matrix functions f(A) and present several methods for computing p-th root matrices A^(1/p). Finally we propose some algorithms for solving fractional linear systems.

Subject: 

Mathematics

Language: 

English

Publisher: 

Carleton University

Thesis Degree Name: 

Master of Science: 
M.Sc.

Thesis Degree Level: 

Master's

Thesis Degree Discipline: 

Mathematics

Parent Collection: 

Theses and Dissertations

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