On the extremal generatrices of some cones of doubly positive quadratic forms

被引：1

作者：

ElKadiri, M

机构：

来源：

COMPTES RENDUS DE L ACADEMIE DES SCIENCES SERIE I-MATHEMATIQUE | 1997年 / 324卷 / 04期

关键词：

D O I：

10.1016/S0764-4442(97)80079-1

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We consider two classes of doubly positive quadratic forms on the space S of real symmetric matrices of order d greater than or equal to 2, and prove that for d = 2, these forms are the only extremal ones. This result fails for d greater than or equal to 3.

引用

页码：421 / 425

页数：5

共 50 条

[41] On the reduction of positive quaternary quadratic forms
Julia, G
COMPTES RENDUS HEBDOMADAIRES DES SEANCES DE L ACADEMIE DES SCIENCES, 1916, 162 : 498 - 501
[42] THEORY OF REDUCTION OF POSITIVE QUADRATIC FORMS
TAMMELA, P
DOKLADY AKADEMII NAUK SSSR, 1973, 209 (06): : 1299 - 1302
[43] Regular positive ternary quadratic forms
Oh, Byeong-Kweon
ACTA ARITHMETICA, 2011, 147 (03) : 233 - 243
[44] The reduction of positive quaternary quadratic forms
Jones, BW
ANNALS OF MATHEMATICS, 1939, 40 : 92 - 119
[45] Geometry of the cone of positive quadratic forms
Gruber, Peter M.
FORUM MATHEMATICUM, 2009, 21 (01) : 147 - 166
[46] ON SOME EXTREMAL POSITIVE DEFINITE FUNCTIONS
GARSIA, A
RODEMICH, E
RUMSEY, H
JOURNAL OF MATHEMATICS AND MECHANICS, 1969, 18 (09): : 805 - &
[47] Extremal rays and duals for cones of positive definite matrices with prescribed zeros
Letac, Gerard
Massam, Helene
LINEAR ALGEBRA AND ITS APPLICATIONS, 2006, 418 (2-3) : 737 - 750
[48] Extremal structure of cones of positive homogeneous polynomials. Part II
Kusraeva, Zalina A.
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2025, 548 (02)
[49] On Regularity of Diagonally Positive Quadratic Doubly Stochastic Operators
Mansoor Saburov
Results in Mathematics, 2017, 72 : 1907 - 1918
[50] On Regularity of Diagonally Positive Quadratic Doubly Stochastic Operators
Saburov, Mansoor
RESULTS IN MATHEMATICS, 2017, 72 (04) : 1907 - 1918

← 1 2 3 4 5 →