In this paper, we present three order-recursive formulas for the Moore-Penrose pseudoinverses of matrices which are the improved and extended Greville formulas (1960). These new versions not only ...

recursive_field_formulas.md – the original set of formulas derived from the song. explicit_formulas.md – detailed equations and a concise narrative explaining each term. my_recursive_ai.py – a simple ...

In today's deep submicron technology the coupling capacitances among individual on-chip RC trees have an essential effect on the signal delay and crosstalk, and the interconnects should be modeled as ...

The general terms of third order recursive sequences are expressed in terms of iterative formulas which do not depend on the explicit solution of the auxiliary equations. Some identities associated ...

SIAM Journal on Applied Mathematics, Vol. 31, No. 4 (Dec., 1976), pp. 618-633 (16 pages) We explore the relation between rook theory of Ferrers boards and polynomial sequences of binomial type.