Some remarks on unilateral matrix equations

Conference · Thu Feb 01 00:00:00 EST 2001

OSTI ID:783741

Cerchiai, Bianca L; Zumino, Bruno

We briefly review the results of our paper LBNL-46775: We study certain solutions of left-unilateral matrix equations. These are algebraic equations where the coefficients and the unknown are square matrices of the same order, or, more abstractly, elements of an associative, but possibly noncommutative algebra, and all coefficients are on the left. Recently such equations have appeared in a discussion of generalized Born-Infeld theories. In particular, two equations, their perturbative solutions and the relation between them are studied, applying a unified approach based on the generalized Bezout theorem for matrix polynomials.

• Research Organization: Lawrence Berkeley National Lab. (LBNL), Berkeley, CA (United States)
• Sponsoring Organization: USDOE Director, Office of Science. Office of High Energy and Nuclear Physics. Division of High Energy Physics; DEUTSCHE FORSCHUNGSGEMEINSCHAFT GRANT CE 50/1-1 (US)
• DOE Contract Number: AC03-76SF00098
• OSTI ID: 783741
• Report Number(s): LBNL-47482; R&D Project: 417001; TRN: US0300786
• Resource Relation: Conference: Euroconference 'Brane New World and Noncommutative Geometry, Torino (IT), 10/02/2000--10/07/2000; Other Information: PBD: 1 Feb 2001
• Country of Publication: United States
• Language: English

Related Subjects

72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
ALGEBRA
GEOMETRY
MATRICES
POLYNOMIALS
UNILATERAL MATRIX EQUATIONS