AN ALTERNATIVE THEOREM FOR QUADRATIC-FORMS AND EXTENSIONS

被引：17

作者：

CROUZEIX, JP

MARTINEZLEGAZ, JE

SEEGER, A

机构：

[1] UNIV AUTONOMA BARCELONA,DEPT ECON & HIST ECON,E-08193 BARCELONA,SPAIN

[2] UNIV BARCELONA,DEPT MATEMAT APLICADA & ANAL,E-08071 BARCELONA,SPAIN

来源：

LINEAR ALGEBRA AND ITS APPLICATIONS | 1995年 / 215卷

关键词：

D O I：

10.1016/0024-3795(93)00082-B

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This note concerns an alternative theorem for quadratic forms established recently by Y. Yuan. We explore some directions in which Yuan's result can be extended, and we indicate also some important situations where an alternative theorem a la Yuan does not hold.

引用

页码：121 / 134

页数：14

共 50 条

[41] VALUES OF QUADRATIC-FORMS
RAGHAVAN, S
[J]. COMMUNICATIONS ON PURE AND APPLIED MATHEMATICS, 1977, 30 (03) : 273 - 281
[42] RANDOM QUADRATIC-FORMS
GREGORY, J
HUGHES, HR
[J]. TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY, 1995, 347 (02) : 709 - 717
[43] REPRESENTATIONS OF QUADRATIC-FORMS
KITAOKA, Y
[J]. NAGOYA MATHEMATICAL JOURNAL, 1978, 69 (FEB) : 117 - 120
[44] PAIRS OF QUADRATIC-FORMS
WATERHOUSE, WC
[J]. INVENTIONES MATHEMATICAE, 1976, 37 (02) : 157 - 164
[45] INDEFINITE QUADRATIC-FORMS
BAKER, RC
SCHLICKEWEI, HP
[J]. PROCEEDINGS OF THE LONDON MATHEMATICAL SOCIETY, 1987, 54 : 385 - 411
[46] PFAFFIANS AND QUADRATIC-FORMS
KNUS, MA
[J]. ADVANCES IN MATHEMATICS, 1988, 71 (01) : 1 - 20
[47] ROUND QUADRATIC-FORMS
MARSHALL, M
[J]. MATHEMATISCHE ZEITSCHRIFT, 1974, 140 (03) : 255 - 262
[48] SYSTEMS OF QUADRATIC-FORMS
PFISTER, A
[J]. BULLETIN DE LA SOCIETE MATHEMATIQUE DE FRANCE, 1979, MEM (59): : 115 - 123
[49] ROUND QUADRATIC-FORMS
ALPERS, B
[J]. JOURNAL OF ALGEBRA, 1991, 137 (01) : 44 - 55
[50] CONSERVATIVE QUADRATIC-FORMS
GENTILE, ER
SHAPIRO, DB
[J]. MATHEMATISCHE ZEITSCHRIFT, 1978, 163 (01) : 15 - 23

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