Computing the Pseudoinverse of Specific Toeplitz Matrices Using Rank-One Updates

Joint Authors

Stojanović, Igor
Stanimirović, Predrag S.
Katsikis, Vasilios N.

Source

Mathematical Problems in Engineering

Issue

Vol. 2016, Issue 2016 (31 Dec. 2016), pp.1-16, 16 p.

Publisher

Hindawi Publishing Corporation

Publication Date

2016-08-23

Country of Publication

Egypt

No. of Pages

16

Main Subjects

Civil Engineering

Abstract EN

Application of the pure rank-one update algorithm as well as a combination of rank-one updates and the Sherman-Morrison formula in computing the Moore-Penrose inverse of the particular Toeplitz matrix is investigated in the present paper.

Such Toeplitz matrices appear in the image restoration process and in many scientific areas that use the convolution.

Four different approaches are developed, implemented, and tested on a number of numerical experiments.

American Psychological Association (APA)

Stanimirović, Predrag S.& Katsikis, Vasilios N.& Stojanović, Igor. 2016. Computing the Pseudoinverse of Specific Toeplitz Matrices Using Rank-One Updates. Mathematical Problems in Engineering،Vol. 2016, no. 2016, pp.1-16.
https://search.emarefa.net/detail/BIM-1112800

Modern Language Association (MLA)

Stanimirović, Predrag S.…[et al.]. Computing the Pseudoinverse of Specific Toeplitz Matrices Using Rank-One Updates. Mathematical Problems in Engineering No. 2016 (2016), pp.1-16.
https://search.emarefa.net/detail/BIM-1112800

American Medical Association (AMA)

Stanimirović, Predrag S.& Katsikis, Vasilios N.& Stojanović, Igor. Computing the Pseudoinverse of Specific Toeplitz Matrices Using Rank-One Updates. Mathematical Problems in Engineering. 2016. Vol. 2016, no. 2016, pp.1-16.
https://search.emarefa.net/detail/BIM-1112800

Data Type

Journal Articles

Language

English

Notes

Includes bibliographical references

Record ID

BIM-1112800