Triangular factorization and inversion by fast matrix multiplication:
The fast matrix multiplication algorithm by Strassen is used to obtain the triangular factorization of a permutation of any non-singular matrix of order n in (C sub 1)(n sup(log of 7 to the base 2)) operations, and hence the inverse of any non-singular matrix in (C sub 2)(n sup (log of 7 to the base...
Gespeichert in:
| Hauptverfasser: | , |
|---|---|
| Format: | Buch |
| Sprache: | English |
| Veröffentlicht: |
Ithaca, New York
1972
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| Schriftenreihe: | Cornell University <Ithaca, NY> / Department of Computer Science: Technical report
152 |
| Schlagworte: | |
| Zusammenfassung: | The fast matrix multiplication algorithm by Strassen is used to obtain the triangular factorization of a permutation of any non-singular matrix of order n in (C sub 1)(n sup(log of 7 to the base 2)) operations, and hence the inverse of any non-singular matrix in (C sub 2)(n sup (log of 7 to the base 2)) operations. (Author). |
| Beschreibung: | 10 Bl. |
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| 100 | 1 | |a Bunch, James R. |e Verfasser |4 aut | |
| 245 | 1 | 0 | |a Triangular factorization and inversion by fast matrix multiplication |c James R. Bunch and John E. Hopcroft |
| 264 | 1 | |a Ithaca, New York |c 1972 | |
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| 490 | 1 | |a Cornell University <Ithaca, NY> / Department of Computer Science: Technical report |v 152 | |
| 520 | 3 | |a The fast matrix multiplication algorithm by Strassen is used to obtain the triangular factorization of a permutation of any non-singular matrix of order n in (C sub 1)(n sup(log of 7 to the base 2)) operations, and hence the inverse of any non-singular matrix in (C sub 2)(n sup (log of 7 to the base 2)) operations. (Author). | |
| 650 | 4 | |a ARITHMETIC | |
| 650 | 4 | |a COMPUTATION | |
| 650 | 4 | |a FACTORIZATION | |
| 650 | 4 | |a MATRIX MULTIPLICATION | |
| 650 | 7 | |a (Matrices(mathematics) |2 dtict | |
| 650 | 7 | |a Algorithms) |2 dtict | |
| 650 | 7 | |a Numerical analysis |2 dtict | |
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| 650 | 7 | |a Theoretical Mathematics |2 scgdst | |
| 700 | 1 | |a Hopcroft, John E. |d 1939- |e Verfasser |0 (DE-588)112071481 |4 aut | |
| 810 | 2 | |a Department of Computer Science: Technical report |t Cornell University <Ithaca, NY> |v 152 |w (DE-604)BV006185504 |9 152 | |
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| author | Bunch, James R. Hopcroft, John E. 1939- |
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| id | DE-604.BV009875060 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-09T17:42:26Z |
| institution | BVB |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-006540886 |
| oclc_num | 227693882 |
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| owner_facet | DE-91G DE-BY-TUM |
| physical | 10 Bl. |
| publishDate | 1972 |
| publishDateSearch | 1972 |
| publishDateSort | 1972 |
| record_format | marc |
| series2 | Cornell University <Ithaca, NY> / Department of Computer Science: Technical report |
| spelling | Bunch, James R. Verfasser aut Triangular factorization and inversion by fast matrix multiplication James R. Bunch and John E. Hopcroft Ithaca, New York 1972 10 Bl. txt rdacontent n rdamedia nc rdacarrier Cornell University <Ithaca, NY> / Department of Computer Science: Technical report 152 The fast matrix multiplication algorithm by Strassen is used to obtain the triangular factorization of a permutation of any non-singular matrix of order n in (C sub 1)(n sup(log of 7 to the base 2)) operations, and hence the inverse of any non-singular matrix in (C sub 2)(n sup (log of 7 to the base 2)) operations. (Author). ARITHMETIC COMPUTATION FACTORIZATION MATRIX MULTIPLICATION (Matrices(mathematics) dtict Algorithms) dtict Numerical analysis dtict Permutations dtict Theoretical Mathematics scgdst Hopcroft, John E. 1939- Verfasser (DE-588)112071481 aut Department of Computer Science: Technical report Cornell University <Ithaca, NY> 152 (DE-604)BV006185504 152 |
| spellingShingle | Bunch, James R. Hopcroft, John E. 1939- Triangular factorization and inversion by fast matrix multiplication ARITHMETIC COMPUTATION FACTORIZATION MATRIX MULTIPLICATION (Matrices(mathematics) dtict Algorithms) dtict Numerical analysis dtict Permutations dtict Theoretical Mathematics scgdst |
| title | Triangular factorization and inversion by fast matrix multiplication |
| title_auth | Triangular factorization and inversion by fast matrix multiplication |
| title_exact_search | Triangular factorization and inversion by fast matrix multiplication |
| title_full | Triangular factorization and inversion by fast matrix multiplication James R. Bunch and John E. Hopcroft |
| title_fullStr | Triangular factorization and inversion by fast matrix multiplication James R. Bunch and John E. Hopcroft |
| title_full_unstemmed | Triangular factorization and inversion by fast matrix multiplication James R. Bunch and John E. Hopcroft |
| title_short | Triangular factorization and inversion by fast matrix multiplication |
| title_sort | triangular factorization and inversion by fast matrix multiplication |
| topic | ARITHMETIC COMPUTATION FACTORIZATION MATRIX MULTIPLICATION (Matrices(mathematics) dtict Algorithms) dtict Numerical analysis dtict Permutations dtict Theoretical Mathematics scgdst |
| topic_facet | ARITHMETIC COMPUTATION FACTORIZATION MATRIX MULTIPLICATION (Matrices(mathematics) Algorithms) Numerical analysis Permutations Theoretical Mathematics |
| volume_link | (DE-604)BV006185504 |
| work_keys_str_mv | AT bunchjamesr triangularfactorizationandinversionbyfastmatrixmultiplication AT hopcroftjohne triangularfactorizationandinversionbyfastmatrixmultiplication |