Is review paper published only after invitation or any time any one can submit a review paper ?
If you think about a survey article; i.e. an article without new research that mainly explains previous research up to now, the answer is it depends on the journal. Read the journal homepage, and you will (in general) find whether survey articles are accepted for publication. Good luck:)
Do not wait for an invitation. Even if your review paper is not accepted, it can serve as the beginning of your next research paper.
I agree fully with Ian Kennedy. If you start writing for invitations to publish, your production will be extremely low :) And yes, writing a survey is almost always a good starting point for own ideas. In fact, each time a supervise a PhD-studen, the first task is to write a survey on a topic central in the proposed thesis.
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