학술논문
Two problems of the theory of quadratic maps.
Document Type
Article
Author
Source
Subject
*QUADRATIC forms
*MATHEMATICAL mappings
*MATRICES (Mathematics)
*ALGEBRA
*
*
*
Language
ISSN
0016-2663
Abstract
Given quadratic forms q, ..., q, two questions are studied: Under what conditions does the set of common zeros of these quadratic forms consist of the only point x = 0? When is the maximum of these quadratic forms nonnegative or positive for any x ≠ 0? Criteria for each of these conditions to hold are obtained. These criteria are stated in terms of matrices determining the quadratic forms under consideration. [ABSTRACT FROM AUTHOR]