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On Computing Accurate Singular Values And Eigenvalues Of Acyclic Matrices by J. W. Demmel
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1DTIC ADA255892: On Computing Accurate Singular Values And Eigenvalues Of Acyclic Matrices
By Defense Technical Information Center
It is known that small relative perturbations in the entries of a bidiagonal matrix only cause small relative perturbations in its singular values, independent of the values of the matrix entries. In this paper we show that a matrix has this property if and only if its associated bipartite graph is acyclic. We also show how to compute the singular values of such a matrix to high relative accuracy. The same algorithm can compute eigenvalues of symmetric acyclic matrices with tiny component-wise relative backward error. This class includes tridragonal matfices, arrow matrices, and exponentially many others.
“DTIC ADA255892: On Computing Accurate Singular Values And Eigenvalues Of Acyclic Matrices” Metadata:
- Title: ➤ DTIC ADA255892: On Computing Accurate Singular Values And Eigenvalues Of Acyclic Matrices
- Author: ➤ Defense Technical Information Center
- Language: English
“DTIC ADA255892: On Computing Accurate Singular Values And Eigenvalues Of Acyclic Matrices” Subjects and Themes:
- Subjects: ➤ DTIC Archive - Demmel, James W - NAVAL POSTGRADUATE SCHOOL MONTEREY CA DEPT OF MATHEMATICS - *COMPUTATIONS - *MATRICES(MATHEMATICS) - *EIGENVALUES - ALGORITHMS - PAPER - PERTURBATIONS - GRAPHS - ACCURACY
Edition Identifiers:
- Internet Archive ID: DTIC_ADA255892
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2On Computing Accurate Singular Values And Eigenvalues Of Acyclic Matrices
By Demmel, J. W.;Gragg, William B.
Title from cover
“On Computing Accurate Singular Values And Eigenvalues Of Acyclic Matrices” Metadata:
- Title: ➤ On Computing Accurate Singular Values And Eigenvalues Of Acyclic Matrices
- Author: ➤ Demmel, J. W.;Gragg, William B.
- Language: en_US,eng
Edition Identifiers:
- Internet Archive ID: oncomputingaccur00demmpdf
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The book is available for download in "texts" format, the size of the file-s is: 15.92 Mbs, the file-s for this book were downloaded 112 times, the file-s went public at Thu Oct 08 2015.
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3On Computing Accurate Singular Values And Eigenvalues Of Acyclic Matrices
By Demmel, J. W.;Gragg, William B.
Title from cover
“On Computing Accurate Singular Values And Eigenvalues Of Acyclic Matrices” Metadata:
- Title: ➤ On Computing Accurate Singular Values And Eigenvalues Of Acyclic Matrices
- Author: ➤ Demmel, J. W.;Gragg, William B.
- Language: en_US
“On Computing Accurate Singular Values And Eigenvalues Of Acyclic Matrices” Subjects and Themes:
- Subjects: EIGENVALUES. - COMPUTATIONS. - MATRICES(MATHEMATICS).
Edition Identifiers:
- Internet Archive ID: oncomputingaccur00demm
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The book is available for download in "texts" format, the size of the file-s is: 33.93 Mbs, the file-s for this book were downloaded 294 times, the file-s went public at Thu Jan 24 2013.
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1On computing accurate singular values and eigenvalues of acyclic matrices
By J. W. Demmel
“On computing accurate singular values and eigenvalues of acyclic matrices” Metadata:
- Title: ➤ On computing accurate singular values and eigenvalues of acyclic matrices
- Author: J. W. Demmel
- Language: English
- Number of Pages: Median: 12
- Publisher: ➤ Available from National Technical Information Service - Naval Postgraduate School
- Publish Date: 1992
- Publish Location: ➤ Springfield, Va - Monterey, Calif
“On computing accurate singular values and eigenvalues of acyclic matrices” Subjects and Themes:
- Subjects: COMPUTATIONS - EIGENVALUES - MATRICES(MATHEMATICS)
Edition Identifiers:
- The Open Library ID: OL25480341M
Access and General Info:
- First Year Published: 1992
- Is Full Text Available: Yes
- Is The Book Public: Yes
- Access Status: Public
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