大葉大學圖書館 |

Eigenvalues, multiplicities and graphs[electronic resource] /

紀錄類型:	書目-電子資源 : Monograph/item
杜威分類號:	512.9434
書名/作者:	Eigenvalues, multiplicities and graphs/ Charles R. Johnson, Carlos M. Saiago.
作者:	Johnson, Charles R.
其他作者:	Saiago, Carlos M.
出版者:	Cambridge : : Cambridge University Press,, 2018.
面頁冊數:	xxii, 291 p. : : ill., digital ;; 24 cm.
附註:	Title from publisher's bibliographic system (viewed on 12 Feb 2018).
標題:	Eigenvalues.
標題:	Matrices.
標題:	Symmetric matrices.
標題:	Trees (Graph theory)
ISBN:	9781316155158
ISBN:	9781107095458
摘要、提要註:	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.
電子資源:	https://doi.org/10.1017/9781316155158

Eigenvalues, multiplicities and graphs[electronic resource] /
Johnson, Charles R.

Eigenvalues, multiplicities and graphs[electronic resource] /Charles R. Johnson, Carlos M. Saiago. - Cambridge :Cambridge University Press,2018. - xxii, 291 p. :ill., digital ;24 cm. - Cambridge tracts in mathematics ;211. - Cambridge tracts in mathematics ;169..

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: 9781316155158Subjects--Topical Terms:

492770
Eigenvalues.

LC Class. No.: QA193 / .J64 2018

Dewey Class. No.: 512.9434

Eigenvalues, multiplicities and graphs[electronic resource] /
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245 1 0 $a Eigenvalues, multiplicities and graphs $h [electronic resource] / $c Charles R. Johnson, Carlos M. Saiago.
260 $a Cambridge : $b Cambridge University Press, $c 2018.
300 $a xxii, 291 p. : $b ill., digital ; $c 24 cm.
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 492770
650 0 $a Matrices. $3 435467
650 0 $a Symmetric matrices. $3 709427
650 0 $a Trees (Graph theory) $3 602417
700 1 $a Saiago, Carlos M. $3 752195
830 0 $a Cambridge tracts in mathematics ; $v 169. $3 642585
856 4 0 $u https://doi.org/10.1017/9781316155158