If you want an existing name for this, you can call is "deterministic scan Metropolis" or "systematic scan Metropolis", although this comes from the theorists who are comparing it to "random scan" approaches.  Cf http://arxiv.org/pdf/0903.0664.pdf http://books.google.com/books?id=WV7KVjEQnJMC&lpg=PT705&ots=h2TA6lGG0u&dq=systematic%20scan%20metropolis%20-diaconis&pg=PT222#v=onepage&q=deterministic%20scan&f=false http://statweb.stanford.edu/~ckirby/techreports/GEN/2000/2000-11.pdf