A Fast Algorithm of Moore-Penrose Inverse for the Loewner-Type Matrix

Joint Authors

Tong, QiuJuan
Lu, Quan
Liu, San-Yang

Source

Mathematical Problems in Engineering

Issue

Vol. 2012, Issue 2012 (31 Dec. 2012), pp.1-7, 7 p.

Publisher

Hindawi Publishing Corporation

Publication Date

2012-01-04

Country of Publication

Egypt

No. of Pages

7

Main Subjects

Civil Engineering

Abstract EN

In this paper, we present a fast algorithm of Moore-Penrose inverse for m×n Loewner-type matrix with full column rank by forming a special block matrix and studying its inverse.

Its computation complexity is O(mn)+O(n2), but it is O(mn2)+O(n3) by using L+=(LTL)−1LT.

American Psychological Association (APA)

Tong, QiuJuan& Liu, San-Yang& Lu, Quan. 2012. A Fast Algorithm of Moore-Penrose Inverse for the Loewner-Type Matrix. Mathematical Problems in Engineering،Vol. 2012, no. 2012, pp.1-7.
https://search.emarefa.net/detail/BIM-1029531

Modern Language Association (MLA)

Tong, QiuJuan…[et al.]. A Fast Algorithm of Moore-Penrose Inverse for the Loewner-Type Matrix. Mathematical Problems in Engineering No. 2012 (2012), pp.1-7.
https://search.emarefa.net/detail/BIM-1029531

American Medical Association (AMA)

Tong, QiuJuan& Liu, San-Yang& Lu, Quan. A Fast Algorithm of Moore-Penrose Inverse for the Loewner-Type Matrix. Mathematical Problems in Engineering. 2012. Vol. 2012, no. 2012, pp.1-7.
https://search.emarefa.net/detail/BIM-1029531

Data Type

Journal Articles

Language

English

Notes

Includes bibliographical references

Record ID

BIM-1029531