RECURRING THEOREM ABOUT PAIRS OF QUADRATIC-FORMS AND EXTENSIONS - SURVEY

被引：140

作者：

UHLIG, F

机构：

[1] Institut für Geometrie

来源：

LINEAR ALGEBRA AND ITS APPLICATIONS | 1979年 / 25卷 / 01期

关键词：

D O I：

10.1016/0024-3795(79)90020-X

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This is a historical and mathematical survey of work on necessary and sufficient conditions for a pair of quadratic forms to admit a positive definite linear combination and various extensions thereof. © 1979.

引用

页码：219 / 237

页数：19

共 76 条

[21] Dines L. L., 1941, B AM MATH SOC, V47, P494, DOI 10.1090/S0002-9904-1941-07494-X
[22] NECESSARY AND SUFFICIENT CONDITIONS FOR A QUADRATIC FORM TO BE POSITIVE WHENEVER A SET OF HOMOGENEOUS LINEAR CONSTRAINTS IS SATISFIED
FAREBROTHER, RW
[J]. LINEAR ALGEBRA AND ITS APPLICATIONS, 1977, 16 (01) : 39 - 42
[23] Finsler P, 1936, COMMENT MATH HELV, V9, P172
[24] FINSLER P, 1936, COMMENT MATH HELV, V9, P188
[25] SUBSPACES OF SYMMETRIC MATRICES CONTAINING MATRICES WITH A MULTIPLE 1ST EIGENVALUE
FRIEDLAND, S
LOEWY, R
[J]. PACIFIC JOURNAL OF MATHEMATICS, 1976, 62 (02) : 389 - 399
[26] Gantmacher F. R., 1960, THEORY MATRICES, V1
[27] GREUB W, 1976, LINEAR ALGEBRA, V179
[28] HESTENES MR, 1951, PAC J MATH, V1, P525
[29] HESTENES MR, UNPUBLISHED
[30] Hestenes MR, 1968, LINEAR ALGEBRA APPL, V1, P397

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