An elimination method for computing the generalized inverse
Leopold B. Willner · Mathematics of Computation · 1967
INVERSE 227 of order m<, depends only on \< and, by (4.6), its (a, ß) element is a function of a -ß.If we define Ni = (e2, • • • , em; , 0), where / = (ei, ■ • • , em¡), then (4.8) Li;= E^-r^AT/, ,-o v!p¿(X¿)and is a polynomial in Ni.Since J\ is also a polynomial in iV¿ it must commute with V\The above results were derived for H 6 UHM.However, properties (ii) and (iii) generalize immediately to all Hessenberg matrices by the remarks at the beginning of Section 2.