Linear and multilinear algebra; matrix theory Matrix analysis Concept
Matrix exponential
Summary
The exponential of a real or complex square matrix is the sum of the convergent power series .
Where this leads
18 pages build on this one.
- Exponential of a bounded operator
- Exponential map of a Lie group
- Logarithm of a matrix
- Kalman rank condition
- Continuous-time Markov chain
- Differential equations in Banach spaces
- Exponential integrator
- One-parameter subgroup
- Lie product formula
- Strang splitting
- Zermelo's navigation problem
- Duhamel's principle
- Mild solution
- Baker–Campbell–Hausdorff formula
- Matrix Lie group
- Time-optimal control
- Golden–Thompson inequality
- C0-semigroup
Further reading
- Web https://en.wikipedia.org/wiki/Matrix_exponential, lead section
About this page
| Tag | 020M04FN1H |
|---|---|
| URI | m2://020M04FN1H |
| Kind | concept |
| Writing | W1 stated |
| MSC | 15A16 |
| Same as |
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What this page needs for W2
- edge instance_of in: at least two examples (0 of 2)
- edge not_instance_of in: at least one non-example (0 of 1)
- edge specializes both: the more general notions and the special cases (0 of 1)
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Definitions
Used by
- Exponential of a bounded operator
- Exponential map of a Lie group
- Logarithm of a matrix
- Kalman rank condition
- Continuous-time Markov chain
- Differential equations in Banach spaces
- Exponential integrator
- One-parameter subgroup
- Lie product formula
- Strang splitting
- Duhamel's principle
- Baker–Campbell–Hausdorff formula
- Matrix Lie group
- Golden–Thompson inequality
- C0-semigroup