### Abstract

A truncated ULV decomposition (TULV) of an m×n matrix X of rank k is a decomposition of the form X = U_{1}LV ^{T} _{1} + E, where U_{1} and V1 are left orthogonal matrices, L is a k × k non-singular lower triangular matrix and E is an error matrix. Only U_{1}, V_{1}, L, and ∥E∥_{F} are stored. We propose algorithms for block updating the TULV based upon Block Classical Gram-Schmidt that in [4]. We also use a refinement algorithm that reduces ∥E∥_{F}, detects rank degeneracy, corrects it and sharpens the approximation.

Original language | English (US) |
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Title of host publication | Advances in Computational Science, Engineering and Information Technology - Proceedings of the Third International Conf. on Computational Science,Engineering and Information Technology, CCSEIT-2013 |

Publisher | Springer Verlag |

Pages | 73-79 |

Number of pages | 7 |

Edition | 1 |

ISBN (Print) | 9783319009506 |

DOIs | |

State | Published - Jan 1 2013 |

Event | 3rd International Conference on Computational Science, Engineering and Information Technology, CCSEIT 2013 - Konya, Turkey Duration: Jun 7 2013 → Jun 9 2013 |

### Publication series

Name | Advances in Intelligent Systems and Computing |
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Number | 1 |

Volume | 225 |

ISSN (Print) | 2194-5357 |

### Other

Other | 3rd International Conference on Computational Science, Engineering and Information Technology, CCSEIT 2013 |
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Country | Turkey |

City | Konya |

Period | 6/7/13 → 6/9/13 |

### Fingerprint

### All Science Journal Classification (ASJC) codes

- Control and Systems Engineering
- Computer Science(all)

### Cite this

*Advances in Computational Science, Engineering and Information Technology - Proceedings of the Third International Conf. on Computational Science,Engineering and Information Technology, CCSEIT-2013*(1 ed., pp. 73-79). (Advances in Intelligent Systems and Computing; Vol. 225, No. 1). Springer Verlag. https://doi.org/10.1007/978-3-319-00951-3_7

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*Advances in Computational Science, Engineering and Information Technology - Proceedings of the Third International Conf. on Computational Science,Engineering and Information Technology, CCSEIT-2013.*1 edn, Advances in Intelligent Systems and Computing, no. 1, vol. 225, Springer Verlag, pp. 73-79, 3rd International Conference on Computational Science, Engineering and Information Technology, CCSEIT 2013, Konya, Turkey, 6/7/13. https://doi.org/10.1007/978-3-319-00951-3_7

**Block Updates on Truncated ULV Decomposition.** / Barlow, Jesse Louis; Aydoǧan, Ebru; Erbay, Hasan.

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution

TY - GEN

T1 - Block Updates on Truncated ULV Decomposition

AU - Barlow, Jesse Louis

AU - Aydoǧan, Ebru

AU - Erbay, Hasan

PY - 2013/1/1

Y1 - 2013/1/1

N2 - A truncated ULV decomposition (TULV) of an m×n matrix X of rank k is a decomposition of the form X = U1LV T 1 + E, where U1 and V1 are left orthogonal matrices, L is a k × k non-singular lower triangular matrix and E is an error matrix. Only U1, V1, L, and ∥E∥F are stored. We propose algorithms for block updating the TULV based upon Block Classical Gram-Schmidt that in [4]. We also use a refinement algorithm that reduces ∥E∥F, detects rank degeneracy, corrects it and sharpens the approximation.

AB - A truncated ULV decomposition (TULV) of an m×n matrix X of rank k is a decomposition of the form X = U1LV T 1 + E, where U1 and V1 are left orthogonal matrices, L is a k × k non-singular lower triangular matrix and E is an error matrix. Only U1, V1, L, and ∥E∥F are stored. We propose algorithms for block updating the TULV based upon Block Classical Gram-Schmidt that in [4]. We also use a refinement algorithm that reduces ∥E∥F, detects rank degeneracy, corrects it and sharpens the approximation.

UR - http://www.scopus.com/inward/record.url?scp=84883016850&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=84883016850&partnerID=8YFLogxK

U2 - 10.1007/978-3-319-00951-3_7

DO - 10.1007/978-3-319-00951-3_7

M3 - Conference contribution

SN - 9783319009506

T3 - Advances in Intelligent Systems and Computing

SP - 73

EP - 79

BT - Advances in Computational Science, Engineering and Information Technology - Proceedings of the Third International Conf. on Computational Science,Engineering and Information Technology, CCSEIT-2013

PB - Springer Verlag

ER -