SØG - mellem flere end 8 millioner bøger:
Viser: Eigenvalues, Multiplicities and Graphs
Eigenvalues, Multiplicities and Graphs
Charles R. Johnson og Carlos M. Saiago
(2018)
Sprog: Engelsk
Cambridge University Press
1.475,00 kr.
Print on demand. Leveringstid vil være ca 2-3 uger.
Detaljer om varen
- Hardback: 310 sider
- Udgiver: Cambridge University Press (Februar 2018)
- Forfattere: Charles R. Johnson og Carlos M. Saiago
- ISBN: 9781107095458
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.
Background;
1. Introduction;
2. Parter-Wiener, etc. theory;
3. Maximum multiplicity for trees, I;
4. Multiple eigenvalues and structure;
5. Maximum multiplicity, II;
6. The minimum number of distinct eigenvalues;
7. Construction techniques;
8. Multiplicity lists for generalized stars;
9. Double generalized stars;
10. Linear trees;
11. Non-trees;
12. Geometric multiplicities for general matrices over a field.
1. Introduction;
2. Parter-Wiener, etc. theory;
3. Maximum multiplicity for trees, I;
4. Multiple eigenvalues and structure;
5. Maximum multiplicity, II;
6. The minimum number of distinct eigenvalues;
7. Construction techniques;
8. Multiplicity lists for generalized stars;
9. Double generalized stars;
10. Linear trees;
11. Non-trees;
12. Geometric multiplicities for general matrices over a field.
De oplyste priser er inkl. moms
Butikker og åbningstid
Handler du som firma
Forretningsbetingelser
Porto og forsendelse
Data & cookiepolitik
Handler du som firma
Forretningsbetingelser
Porto og forsendelse
Data & cookiepolitik
Polyteknisk Boghandel og Forlag A/S - Anker Engelundsvej 1 - 2800 Lyngby
Tlf 77 42 43 44 - email poly@polyteknisk.dk - CVR 34072655 - Sydbank Reg: 6748 Konto 0001107927
Tlf 77 42 43 44 - email poly@polyteknisk.dk - CVR 34072655 - Sydbank Reg: 6748 Konto 0001107927