An interesting matrix exponent formula (Q1355221)
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scientific article; zbMATH DE number 1011331
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | An interesting matrix exponent formula |
scientific article; zbMATH DE number 1011331 |
Statements
An interesting matrix exponent formula (English)
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15 October 1997
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The author proves the following exponent formula for noncommutative matrices \(A\), \(B\), and \(C\): Suppose \(A\), \(B\), and \(C\) are square matrices such that \(\lim_{n\to\infty}A^n=C\). Then \[ \lim_{n\to\infty}(A+\textstyle{\frac{1}{n}}B)^n= C+\exp^{CBC}-I. \]
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operator norm
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projection operator
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matrix exponent formula
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