Some remarks on unilateral matrix equations

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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.

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Cerchiai, Bianca L. & Zumino, Bruno February 1, 2001.

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Description

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.

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vp.

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INIS; OSTI as DE00783741

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  • Euroconference 'Brane New World and Noncommutative Geometry, Torino (IT), 10/02/2000--10/07/2000

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  • Report No.: LBNL--47482
  • Grant Number: AC03-76SF00098
  • Office of Scientific & Technical Information Report Number: 783741
  • Archival Resource Key: ark:/67531/metadc723718

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  • February 1, 2001

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  • Sept. 29, 2015, 5:31 a.m.

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  • April 4, 2016, 3:43 p.m.

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Cerchiai, Bianca L. & Zumino, Bruno. Some remarks on unilateral matrix equations, article, February 1, 2001; Berkeley, California. (digital.library.unt.edu/ark:/67531/metadc723718/: accessed August 21, 2017), University of North Texas Libraries, Digital Library, digital.library.unt.edu; crediting UNT Libraries Government Documents Department.