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

被引：142
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
收藏
页码：219 / 237
页数：19
相关论文
共 76 条
[1]  
AFRIAT SN, 1951, P CAMB PHILOS SOC, V47, P1
[2]  
Albert A. A., 1938, B AM MATH SOC, V44, P250
[3]  
Au-Yeung Y.-H., 1974, LINEAR MULTILINEAR A, V2, P249, DOI [10.1080/03081087408817067, DOI 10.1080/03081087408817067]
[4]   A NECESSARY AND SUFFICIENT CONDITION FOR SIMULTANEOUS DIAGONALIZATION OF 2 HERMITIAN MATRICES AND ITS APPLICATION [J].
AUYEUNG, YH .
GLASGOW MATHEMATICAL JOURNAL, 1970, 11 :81-&
[5]   A THEOREM ON A MAPPING FROM A SPHERE TO CIRCLE AND SIMULTANEOUS DIAGONALIZATION OF 2 HERMITIAN MATRICES [J].
AUYEUNG, YH .
PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 1969, 20 (02) :545-&
[6]   SOME THEOREMS ON REAL PENCIL AND SIMULTANEOUS DIAGONALIZATION OF 2 HERMITIAN BILINEAR FUNCTIONS [J].
AUYEUNG, YH .
PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 1969, 23 (02) :246-&
[7]   SEMI-DEFINITENESS OF REAL PENCIL OF 2 HERMITIAN MATRICES [J].
AUYEUNG, YH .
LINEAR ALGEBRA AND ITS APPLICATIONS, 1975, 10 (01) :71-76
[8]  
AUYEUNG YH, 1975, AEQUATIONES MATH, V12, P82
[9]   NUMERICAL RANGE OF A MATRIX - SOME EFFECTIVE CRITERIA [J].
BALLANTINE, CS .
LINEAR ALGEBRA AND ITS APPLICATIONS, 1978, 19 (02) :117-188
[10]  
Bauer F.L., 1962, NUMER MATH, V4, P103
12345678