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We report a physical background of the wave function prediction in theinfinite system density matrix renormalization group (DMRG) method, from theview point of two-dimensional vertex model, a typical lattice model instatistical mechanics. Singular value decomposition applied to rectangularcorner transfer matrices naturally draws matrix product representation for themaximal eigenvector of the row-to-row transfer matrix. The wave functionprediction can be expressed as the insertion of an approximate half-columntransfer matrix. This insertion process is in accordance with the schemeproposed by McCulloch recently.

A Classical Background for the Wave Function Prediction in the Infinite System DMRG Method