The Quaternionic Equation ax+xb = c

被引：6

作者：

Helmstetter, Jacques ^{[1
]}

机构：

[1] Univ Grenoble 1, Inst Fourier, F-38402 St Martin Dheres, France

来源：

ADVANCES IN APPLIED CLIFFORD ALGEBRAS | 2012年 / 22卷 / 04期

关键词：

The division ring of quaternions; quaternionic polynomials;

D O I：

10.1007/s00006-012-0322-z

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The quaternionic equation ax + xb = c is studied in Section 3 of [2]. Unfortunately there is an error in Theorem 1 which states the main results (page 420). Here a correct theorem is stated. It is followed by a complete proof based on an alternative argument. And more information is given.

引用

页码：1055 / 1059

页数：5

共 50 条

[1] The Quaternionic Equation ax + xb = c
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Advances in Applied Clifford Algebras, 2012, 22 : 1055 - 1059
[2] SOLUTION OF MATRIX EQUATION AX+XB=C
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[3] ERROR BOUND FOR THE EQUATION AX+XB=C
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[4] ALGORITHM - SOLUTION OF MATRIX EQUATION AX+XB = C
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[6] On a Matrix Equation AX+XB=C over a Skew Field
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