Generalized Matrix Functions
Russell Merris · 1997
In1893,J.Hadamardpublishedhiscelebratedtheoremondeterminants(Theorem2.41):IfA~0,then h(A)~det(A), where,recall,h(A)istheproductofthemaindiagonalentriesofA.SupposeA~0 ispartitionedintoblocks, whereAnandA22aresquare.ItfollowsfromHadamard&s;sTheoremthat h(A)~det(Au)det(A22),A~0.