The tropical resultant

被引：3

作者：

Odagiri, Shinsuke ^{[1
]}

机构：

[1] Tokyo Metropolitan Univ, Dept Math, Hachioji, Tokyo 1920397, Japan

来源：

关键词：

tropical geometry; tropical semiring; max-plus algebra;

D O I：

10.3792/pjaa.84.93

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

The resultant of two tropical polynomials satisfies the similar properties to the resultant of two polynomials over a field.

引用

页码：93 / 96

页数：4

共 50 条

[31] ON SOME RESULTANT IDENTITIES
KRAVITSKY, N
WAKSMAN, Z
LINEAR ALGEBRA AND ITS APPLICATIONS, 1989, 122 : 3 - 21
[32] Transfinite diameter and the resultant
DeMarco, Laura
Rumely, Robert
JOURNAL FUR DIE REINE UND ANGEWANDTE MATHEMATIK, 2007, 611 : 145 - 161
[33] RELIEF AND RESULTANT ATTITUDES
Vincent, Melvin J.
SOCIOLOGY AND SOCIAL RESEARCH, 1935, 20 (01): : 27 - 33
[34] Sparse Differential Resultant
Li, Wei
Gao, Xiao-Shan
Yuan, Chun-Ming
ISSAC 2011: PROCEEDINGS OF THE 36TH INTERNATIONAL SYMPOSIUM ON SYMBOLIC AND ALGEBRAIC COMPUTATION, 2011, : 225 - 232
[35] A RESULTANT OF INTERCULTURAL RELATIONS
Aginsky, Burt W.
Aginsky, Ethel G.
SOCIAL FORCES, 1947, 26 (01) : 84 - 87
[36] THE GENERALIZED RESULTANT MATRIX
HAYTON, GE
INTERNATIONAL JOURNAL OF CONTROL, 1980, 32 (04) : 567 - 579
[37] GENERALIZED RESULTANT THEOREM
VARDULAKIS, AIG
STOYLE, PNR
JOURNAL OF THE INSTITUTE OF MATHEMATICS AND ITS APPLICATIONS, 1978, 22 (03): : 331 - 335
[38] The minimal resultant locus
Rumely, Robert
ACTA ARITHMETICA, 2015, 169 (03) : 251 - 290
[39] Sparse difference resultant
Li, Wei
Yuan, Chun-Ming
Gao, Xiao-Shan
JOURNAL OF SYMBOLIC COMPUTATION, 2015, 68 : 169 - 203
[40] The resultant of a linear set
Snapper, E
AMERICAN JOURNAL OF MATHEMATICS, 1944, 66 : 59 - 68