Shifting algorithm

J.H. Wilkinson, Global convergence of tridiagonal QR algorithm with origin shift. Algorithms Applic., 1 (1968)409 20. 

For Hamiltonian dynamics with a canonical or microcanonical distribution of initial conditions the acceptance probability for pathways generated with the shifting algorithm is particularly simple. Provided forward and backward shifting moves are carried out with the same probability the acceptance probability from (7.23) reduces to... 

Bristow-Johnson, 1995] Bristow-Johnson, R. (1995). A detailed analysis of a time-domain formant-corrected pitch-shifting algorithm. J. Audio Eng. Soc., 43(5) 340-352. 

Proof To make calculation easier, we adopt a slightly different probabilistic shifting algorithm without changing the value of S. The difference is that, when X is 0 upon the arrival of a new member, the new member would be treated as existing members and would be shifted with probability p at the same time. 

Sample preparation techniques using aluminum blocks and a shifting algorithm are not provided by the manufacturer of the DMTA and were developed independently. 

Shifting moves are slightly different for stochastic and deterministic dynamics. First, we discuss the application of the shifting algorithm to systems evolving deterministically and then discuss shifting moves for stochastic dynamics. 

Solano CJF, Pend AM, Francisco E, Blanco MA, Popelita- PLA (2010) Convergence of the multipole expansion for 1,2 Coulomb inhaactions the modified multipole shifting algorithm. J Chem Phys 132 194110... 

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