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How to solve the equation AuBu+Cu=f

โœ Scribed by Chun-li Li; Ming-gen Cui

Book ID
108395578
Publisher
Elsevier Science
Year
2002
Tongue
English
Weight
102 KB
Volume
133
Category
Article
ISSN
0096-3003

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How to solve the matrix equation
How to solve the matrix equation
โœ Gerald Bourgeois ๐Ÿ“‚ Article ๐Ÿ“… 2011 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 217 KB

Let f be an analytic function defined on a complex domain and A โˆˆ M n (C). We assume that there exists a unique ฮฑ satisfying f (ฮฑ) = 0. When f (ฮฑ) = 0 and A is non-derogatory, we completely solve the equation XA -AX = f (X). This generalizes Burde's results. When f (ฮฑ) / = 0, we give a method to sol