國立虎尾科技大學 |

Eigenvalues, multiplicities and graphs /

Record Type:	Language materials, printed : Monograph/item
Title/Author:	Eigenvalues, multiplicities and graphs // Charles R. Johnson, Carlos M. Saiago.
Author:	Johnson, Charles R.,
other author:	Saiago, Carlos M.,
Description:	1 online resource (xxii, 291 pages) :digital, PDF file(s). :
Notes:	Title from publisher's bibliographic system (viewed on 12 Feb 2018).
Subject:	Eigenvalues. -
Online resource:	https://doi.org/10.1017/9781316155158
ISBN:	9781316155158 (ebook)

Eigenvalues, multiplicities and graphs /
Johnson, Charles R.,

Eigenvalues, multiplicities and graphs /Charles R. Johnson, Carlos M. Saiago. - 1 online resource (xxii, 291 pages) :digital, PDF file(s). - Cambridge tracts in mathematics ;211. - Cambridge tracts in mathematics ;203..

Title from publisher's bibliographic system (viewed on 12 Feb 2018).

The arrangement of nonzero entries of a matrix, described by the graph of the matrix, limits the possible geometric multiplicities of the eigenvalues, which are far more limited by this information than algebraic multiplicities or the numerical values of the eigenvalues. This book gives a unified development of how the graph of a symmetric matrix influences the possible multiplicities of its eigenvalues. While the theory is richest in cases where the graph is a tree, work on eigenvalues, multiplicities and graphs has provided the opportunity to identify which ideas have analogs for non-trees, and those for which trees are essential. It gathers and organizes the fundamental ideas to allow students and researchers to easily access and investigate the many interesting questions in the subject.

ISBN: 9781316155158 (ebook)Subjects--Topical Terms:

527710
Eigenvalues.

LC Class. No.: QA193 / .J64 2018

Dewey Class. No.: 512.9/434

Eigenvalues, multiplicities and graphs /
LDR:01820nam a22002898i 4500 001 1125059
003 UkCbUP
005 20180306113506.0
006 m|||||o||d||||||||
007 cr||||||||||||
008 240926s2018||||enk o ||1 0|eng|d
020 $a 9781316155158 (ebook)
020 $z 9781107095458 (hardback)
035 $a CR9781316155158
040 $a UkCbUP $b eng $e rda $c UkCbUP
050 4 $a QA193 $b .J64 2018
082 0 4 $a 512.9/434 $2 23
100 1 $a Johnson, Charles R., $e author. $3 1443047
245 1 0 $a Eigenvalues, multiplicities and graphs / $c Charles R. Johnson, Carlos M. Saiago.
264 1 $a Cambridge : $b Cambridge University Press, $c 2018.
300 $a 1 online resource (xxii, 291 pages) : $b digital, PDF file(s).
336 $a text $b txt $2 rdacontent
337 $a computer $b c $2 rdamedia
338 $a online resource $b cr $2 rdacarrier
490 1 $a Cambridge tracts in mathematics ; $v 211
500 $a Title from publisher's bibliographic system (viewed on 12 Feb 2018).
520 $a The arrangement of nonzero entries of a matrix, described by the graph of the matrix, limits the possible geometric multiplicities of the eigenvalues, which are far more limited by this information than algebraic multiplicities or the numerical values of the eigenvalues. This book gives a unified development of how the graph of a symmetric matrix influences the possible multiplicities of its eigenvalues. While the theory is richest in cases where the graph is a tree, work on eigenvalues, multiplicities and graphs has provided the opportunity to identify which ideas have analogs for non-trees, and those for which trees are essential. It gathers and organizes the fundamental ideas to allow students and researchers to easily access and investigate the many interesting questions in the subject.
650 0 $a Eigenvalues. $3 527710
650 0 $a Matrices. $3 528174
650 0 $a Symmetric matrices. $3 528176
650 0 $a Trees (Graph theory) $3 527866
700 1 $a Saiago, Carlos M., $e author. $3 1443048
776 0 8 $i Print version: $z 9781107095458
830 0 $a Cambridge tracts in mathematics ; $v 203. $3 1238301
856 4 0 $u https://doi.org/10.1017/9781316155158