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...Fmmandh matrices a short introduction to the basic idea m fenn and g steidl abstract aim of this paper is fundamental al gorithm for fast multiplication vectors with fully populated spe cial arising in various applications known as multipole method by h or mosaic skeleton we prefer linear algebraic approach which may serve basis student seminars mathematics computer science en gineering our accompanied broad but far away from complete list references where reader nd more sophisticated material gives algorithm n vector matrix mjk j k course must have some special properties otherwise straightforward requires o arithmetic operations litera ture considered appears under three names namely fmm each these approaches shows features mainly due authors had mind ideas coincide complexity its slower variant hi erarchical logn were de signed l greengard v rokhlin particle simulation rd here mj xj xk radial function isotropic kernel x y log if d other also used gauss transform gaussian andformanyo...