Formulation of Matrix Pade Approximation in Rectangular Full Packed Storage
- M. Kaliyappan
- S. Ponnusamy
- S. Sundar
Abstract
The Extended Euclidean algorithm for matrix Pade approximants is applied to compute matrix Pade approximants in rectangularfull packed format (RFP) if the coefficient matrices of the input matrix polynomial are triangular. The procedure
given by Gustavson et al for packing a triangular matrix in rectangular full packed format is applied to pack sequence
of lower triangular matrices of a matrix polynomial in Rectangular Full Packed format. This RFP format of a matrix
polynomial is applied to compute matrix Pade approximants of the matrix polynomial using Matrix Pade Extended Euclidean
Algorithm. Algorithms for the multiplication of two triangular matrices and inverse of a triangular matrix in RFP
format are also presented. The CPU time and memory comparison in computing the matrix Pade approximants of a matrix
polynomial between RFP format case and non packed case are elucidated in detail.
- Full Text:
PDF
- DOI:10.5539/jmr.v1n2p184
Journal Metrics
- h-index (December 2021): 22
- i10-index (December 2021): 78
- h5-index (December 2021): N/A
- h5-median (December 2021): N/A
( The data was calculated based on Google Scholar Citations. Click Here to Learn More. )
Index
- Academic Journals Database
- ACNP
- Aerospace Database
- BASE (Bielefeld Academic Search Engine)
- Civil Engineering Abstracts
- CNKI Scholar
- COPAC
- DTU Library
- EconPapers
- Elektronische Zeitschriftenbibliothek (EZB)
- EuroPub Database
- Google Scholar
- Harvard Library
- IDEAS
- Infotrieve
- JournalTOCs
- LOCKSS
- MathGuide
- MathSciNet
- MIAR
- PKP Open Archives Harvester
- Publons
- RePEc
- ResearchGate
- Scilit
- SHERPA/RoMEO
- SocioRePEc
- Standard Periodical Directory
- Technische Informationsbibliothek (TIB)
- The Keepers Registry
- UCR Library
- Universe Digital Library
- WorldCat
Contact
- Sophia WangEditorial Assistant
- jmr@ccsenet.org