RUS  ENG
Full version
JOURNALS // Matematicheskie Zametki // Archive

Mat. Zametki, 2008 Volume 84, Issue 2, Pages 163–174 (Mi mzm4161)

This article is cited in 11 papers

Nonnegativity of Quadratic Forms on Intersections of Quadrics and Quadratic Maps

A. V. Arutyunov

Peoples Friendship University of Russia

Abstract: The question of the nonnegativity of quadratic forms on intersections of quadratic cones is considered. An answer is given in terms of Lagrange multipliers of the quadratic forms under consideration.

Keywords: quadratic form, quadratic cone, quadratic map, regular zero of a quadratic function, abnormal point, bilinear map, Sard's theorem.

UDC: 517.9

Received: 18.10.2007

DOI: 10.4213/mzm4161


 English version:
Mathematical Notes, 2008, 84:2, 155–165

Bibliographic databases:


© Steklov Math. Inst. of RAS, 2026