On computing accurate singular values and eigenvalues of acyclic matrices - Info and Reading Options
By J. W. Demmel
"On computing accurate singular values and eigenvalues of acyclic matrices" was published by Naval Postgraduate School in 1992 - Monterey, Calif, it has 12 pages and the language of the book is English.
“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: 12
- Publisher: Naval Postgraduate School
- Publish Date: 1992
- Publish Location: Monterey, Calif
“On computing accurate singular values and eigenvalues of acyclic matrices” Subjects and Themes:
- Subjects: COMPUTATIONS - EIGENVALUES - MATRICES(MATHEMATICS)
Edition Specifications:
- Pagination: 12 p. ;
Edition Identifiers:
- The Open Library ID: OL25480341M - OL16855956W
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"On computing accurate singular values and eigenvalues of acyclic matrices" Description:
The Open Library:
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.
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