An analysis of the matrix equation AX + X̄B = C

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• 作者：Kh. D. Ikramov
• 关键词：Sylvester matrix equation ; BHH ; equation ; normal matrix ; conjugate ; normal matrix ; unitary similarity ; unitary congruence ; numerical algorithms
• 刊名：Computational Mathematics and Mathematical Physics
• 出版年：2016
• 出版时间：September 2016
• 年：2016
• 卷：56
• 期：9
• 页码：1536-1539
• 全文大小：125 KB
• 刊物类别：Mathematics and Statistics
• 刊物主题：Mathematics
  Computational Mathematics and Numerical Analysis
  Russian Library of Science
  
• 出版者：MAIK Nauka/Interperiodica distributed exclusively by Springer Science+Business Media LLC.
• ISSN：1555-6662
• 卷排序：56

文摘

The matrix equation AX + X̄B = C, where X̄B is obtained by the entry-wise conjugation of X, is examined. On the basis of analogy with the Sylvester matrix equation, special cases are distinguished where the former equation corresponds to normal and self-adjoint Sylvester equations. Efficient numerical algorithms are proposed for these special cases.