百度作业网kronecker product的具体含义?
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kronecker product的具体含义?
Given an (m\times n) matrix A and a (p\times q) matrix B,their Kronecker product C=(A\otimes B) is an (mp\times nq) matrix with elements defined by
C_{st}=A_{ij} B_{kl},
where s=p(i-1)+k,t=q(j-1)+l.
For example,if
A= A_{11} A_{12}
A_{21} A_{22}
B= B_{11} B_{12}
B_{21} B_{22}
then
C=(A\otimes B)=A_{11}B A_{12}B
A_{21}B A_{22}B
C_{st}=A_{ij} B_{kl},
where s=p(i-1)+k,t=q(j-1)+l.
For example,if
A= A_{11} A_{12}
A_{21} A_{22}
B= B_{11} B_{12}
B_{21} B_{22}
then
C=(A\otimes B)=A_{11}B A_{12}B
A_{21}B A_{22}B