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

[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
AUYEUNG, YH
[J]. GLASGOW MATHEMATICAL JOURNAL, 1970, 11 : 81 - &
[5] A THEOREM ON A MAPPING FROM A SPHERE TO CIRCLE AND SIMULTANEOUS DIAGONALIZATION OF 2 HERMITIAN MATRICES
AUYEUNG, YH
[J]. PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 1969, 20 (02) : 545 - &
[6] SOME THEOREMS ON REAL PENCIL AND SIMULTANEOUS DIAGONALIZATION OF 2 HERMITIAN BILINEAR FUNCTIONS
AUYEUNG, YH
[J]. PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 1969, 23 (02) : 246 - &
[7] SEMI-DEFINITENESS OF REAL PENCIL OF 2 HERMITIAN MATRICES
AUYEUNG, YH
[J]. 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
BALLANTINE, CS
[J]. LINEAR ALGEBRA AND ITS APPLICATIONS, 1978, 19 (02) : 117 - 188
[10] Bauer F.L., 1962, NUMER MATH, V4, P103

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