On Moore-Penrose pseudoinverse computation for stiffness matrices resulting from higher order approximation
Authors:
- Marek Klimczak,
- Witold Cecot
Abstract
Computing the pseudoinverse of a matrix is an essential component of many computational methods. It arises in statistics, graphics, robotics, numerical modeling, and many more areas. Therefore, it is desirable to select reliable algorithms that can perform this operation efficiently and robustly. A demanding benchmark test for the pseudoinverse computation was introduced. The stiffness matrices for higher order approximation turned out to be such tough problems and therefore can serve as good benchmarks for algorithms of the pseudoinverse computation. It was found out that only one algorithm, out of five known from literature, enabled us to obtain acceptable results for the pseudoinverse of the proposed benchmark test.
- Record ID
- CUTc75addbed68745bb9229d0ab9aca9f0e
- Publication categories
- ;
- Author
- Journal series
- Mathematical Problems in Engineering, ISSN 1024-123X, e-ISSN 1563-5147
- Issue year
- 2019
- Vol
- 2019
- Pages
- [1-16]
- Article number
- 5060397
- Other elements of collation
- rys.; tab.; Bibliografia (na s.) - 15-16; Bibliografia (liczba pozycji) - 35; Oznaczenie streszczenia - Abstr.; Numeracja w czasopiśmie - Vol. 2019
- Keywords in English
- Moore-Penrose pseudoinverse, local numerical homogenization, hp-FEM
- DOI
- DOI:10.1155/2019/5060397 Opening in a new tab
- URL
- https://www.hindawi.com/journals/mpe/2019/5060397/ Opening in a new tab
- Language
- eng (en) English
- License
- Score (nominal)
- 40
- Additional fields
- Indeksowana w: Web of Science, Scopus
- Uniform Resource Identifier
- https://cris.pk.edu.pl/info/article/CUTc75addbed68745bb9229d0ab9aca9f0e/
- URN
urn:pkr-prod:CUTc75addbed68745bb9229d0ab9aca9f0e
* presented citation count is obtained through Internet information analysis, and it is close to the number calculated by the Publish or PerishOpening in a new tab system.