Let
Ai,
Bi (
i = 1,2) be
mi ×
ni complex matrices. We give a criterion for the regularity of the pencil λ
A1 der=0 SRC=/images/glyphs/BSS.GIF>
A2 −
B1 der=0 SRC=/images/glyphs/BSS.GIF>
B2, and obtain the Weierstrass-Kronecker canonical form of this pencil from that of λ
Ai −
Bi,
i = 1, 2. Examples are given which illustrate our results.