UZH-Logo

Maintenance Infos

On Moore-Penrose inverses of quasi-Kronecker structured matrices


Furrer, R; Heersink, D K (2012). On Moore-Penrose inverses of quasi-Kronecker structured matrices. Linear Algebra and its Applications, 436(3):561-570.

Abstract

The Moore-Penrose inverse and generalized inverse of A + X(1)X(2)*, where A. X(1), X(2) are complex matrices are given under various assumptions. We use the result to derive the Moore-Penrose inverse and inverse for bdiag(A(k)) + uv* circle times E with p complex matrices A(k), two complex p-vectors u and v and a complex matrix E. Such block structured matrices occur in hierarchical modeling of multivariate spatial or space-time Gaussian processes. For the latter we also give expressions of the determinant and of conditional variances. (C) 2011 Elsevier Inc. All rights reserved.

The Moore-Penrose inverse and generalized inverse of A + X(1)X(2)*, where A. X(1), X(2) are complex matrices are given under various assumptions. We use the result to derive the Moore-Penrose inverse and inverse for bdiag(A(k)) + uv* circle times E with p complex matrices A(k), two complex p-vectors u and v and a complex matrix E. Such block structured matrices occur in hierarchical modeling of multivariate spatial or space-time Gaussian processes. For the latter we also give expressions of the determinant and of conditional variances. (C) 2011 Elsevier Inc. All rights reserved.

Citations

1 citation in Web of Science®
1 citation in Scopus®
Google Scholar™

Altmetrics

Downloads

0 downloads since deposited on 22 Jan 2013
0 downloads since 12 months

Additional indexing

Item Type:Journal Article, refereed, original work
Communities & Collections:07 Faculty of Science > Institute of Mathematics
Dewey Decimal Classification:510 Mathematics
Language:English
Date:2012
Deposited On:22 Jan 2013 13:27
Last Modified:05 Apr 2016 16:18
Publisher:Elsevier
ISSN:0024-3795
Publisher DOI:https://doi.org/10.1016/j.laa.2011.07.009
Permanent URL: https://doi.org/10.5167/uzh-70326

Download

[img]
Content: Published Version
Language: English
Filetype: PDF - Registered users only
Size: 245kB
View at publisher

TrendTerms

TrendTerms displays relevant terms of the abstract of this publication and related documents on a map. The terms and their relations were extracted from ZORA using word statistics. Their timelines are taken from ZORA as well. The bubble size of a term is proportional to the number of documents where the term occurs. Red, orange, yellow and green colors are used for terms that occur in the current document; red indicates high interlinkedness of a term with other terms, orange, yellow and green decreasing interlinkedness. Blue is used for terms that have a relation with the terms in this document, but occur in other documents.
You can navigate and zoom the map. Mouse-hovering a term displays its timeline, clicking it yields the associated documents.

Author Collaborations