The Cauchy interlacing theorem in simple Euclidean Jordan algebras and some consequences

Some inertia theorems in Euclidean Jordan algebras

Linear Algebra and its Applications ◽

10.1016/j.laa.2008.11.015 ◽

2009 ◽

Vol 430 (8-9) ◽

pp. 1992-2011 ◽

Cited By ~ 29

Author(s):

M. Seetharama Gowda ◽

Jiyuan Tao ◽

Melania Moldovan

Keyword(s):

Jordan Algebras ◽

Generalized Subdifferentials of Spectral Functions over Euclidean Jordan Algebras

SIAM Journal on Optimization ◽

10.1137/19m1245001 ◽

2020 ◽

Vol 30 (4) ◽

pp. 3387-3414

Author(s):

Bruno F. Lourenço ◽

Akiko Takeda

Keyword(s):

Jordan Algebras ◽

Spectral Functions ◽

Generalized Subdifferentials

Euclidean Jordan Algebras and Strongly Regular Graphs

Dynamics, Games and Science II - Springer Proceedings in Mathematics ◽

10.1007/978-3-642-14788-3_50 ◽

2011 ◽

pp. 689-701

Author(s):

Luís Vieira

Keyword(s):

Jordan Algebras ◽

Strongly Regular Graphs ◽

Regular Graphs ◽

Euclidean Jordan algebras and some admissibility conditions on the parameters of a strongly regular graph

10.1063/1.5114101 ◽

2019 ◽

Author(s):

Luís António de Almeida Vieira

Keyword(s):

Regular Graph ◽

Strongly Regular Graph ◽

Jordan Algebras ◽

Some New Results for Linear Transformations on Euclidean Jordan Algebras

10.1063/1.3241356 ◽

2009 ◽

Author(s):

Jiyuan Tao ◽

Theodore E. Simos ◽

George Psihoyios ◽

Ch. Tsitouras

Keyword(s):

Jordan Algebras ◽

Linear Transformations ◽

Euclidean Jordan Algebras and Inequalities over the Spectrum of a Strongly Regular Graph

Journal of Physics Conference Series ◽

10.1088/1742-6596/1564/1/012032 ◽

2020 ◽

Vol 1564 ◽

pp. 012032

Author(s):

Luis Vieira

Keyword(s):

Regular Graph ◽

Strongly Regular Graph ◽

Jordan Algebras ◽

Euclidean Jordan algebras, MacLaurin series and inequalities on strongly regular graphs

10.1063/1.4825821 ◽

2013 ◽

Author(s):

Luís António de Almeida Vieira ◽

Vasco Moço Mano

Keyword(s):

Jordan Algebras ◽

Strongly Regular Graphs ◽

Regular Graphs ◽

Maclaurin Series ◽

On an interconnection between the Lipschitz continuity of the solution map and the positive principal minor property in linear complementarity problems over Euclidean Jordan algebras

Linear Algebra and its Applications ◽

10.1016/j.laa.2007.04.004 ◽

2007 ◽

Vol 426 (1) ◽

pp. 83-95 ◽

Cited By ~ 8

Author(s):

R. Balaji

Keyword(s):

Lipschitz Continuity ◽

Complementarity Problems ◽

Linear Complementarity Problems ◽

Linear Complementarity ◽

Jordan Algebras ◽

Principal Minor ◽

Solution Map ◽

Linear Complementarity Problem with Pseudomonotonicity on Euclidean Jordan Algebras

Journal of Optimization Theory and Applications ◽

10.1007/s10957-013-0295-7 ◽

2013 ◽

Vol 159 (1) ◽

pp. 41-56 ◽

Cited By ~ 3

Author(s):

Jiyuan Tao

Keyword(s):

Linear Complementarity Problem ◽

Complementarity Problem ◽

Linear Complementarity ◽

Jordan Algebras ◽

Schur complements, Schur determinantal and Haynsworth inertia formulas in Euclidean Jordan algebras

Linear Algebra and its Applications ◽

10.1016/j.laa.2009.11.015 ◽

2010 ◽

Vol 432 (6) ◽

pp. 1553-1559 ◽

Cited By ~ 14

Author(s):

M. Seetharama Gowda ◽

Roman Sznajder

Keyword(s):

Jordan Algebras ◽

Schur Complements