Geodesic
Further results on the Craig-Sakamoto equation
The electronic journal of linear algebra, Tome 17 (2008), pp. 445-457.

Voir la notice de l'article provenant de la source Electronic Library of Mathematics

Summary: In this paper, necessary and sufficient conditions are stated for the Craig-Sakamoto equation $det(I - sA - tB) = det(I - sA) det(I - tB)$ to hold for all scalars s, t $\in C$. Moreover, spectral properties for matrices A and B that satisfy this equation are investigated.
Classification : 15A15, 15A18, 15A63
Keywords: determinant, characteristic polynomial, craig-sakamoto equation, bilinear form 
@article{ELA_2008__17__a13,
     author = {Maroulas, John},
     title = {Further results on the {Craig-Sakamoto} equation},
     journal = {The electronic journal of linear algebra},
     pages = {445--457},
     publisher = {mathdoc},
     volume = {17},
     year = {2008},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/ELA_2008__17__a13/}
}
TY  - JOUR
AU  - Maroulas, John
TI  - Further results on the Craig-Sakamoto equation
JO  - The electronic journal of linear algebra
PY  - 2008
SP  - 445
EP  - 457
VL  - 17
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/ELA_2008__17__a13/
LA  - en
ID  - ELA_2008__17__a13
ER  - 
%0 Journal Article
%A Maroulas, John
%T Further results on the Craig-Sakamoto equation
%J The electronic journal of linear algebra
%D 2008
%P 445-457
%V 17
%I mathdoc
%U http://geodesic.mathdoc.fr/item/ELA_2008__17__a13/
%G en
%F ELA_2008__17__a13
Maroulas, John. Further results on the Craig-Sakamoto equation. The electronic journal of linear algebra, Tome 17 (2008), pp. 445-457. http://geodesic.mathdoc.fr/item/ELA_2008__17__a13/