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[[Schur complement]]s of diagonal blocks and combining both using the matrix-matrix multiplication.
In a similar way, the [[LU decomposition]]
<ref name="BE07">{{cite journal|last=Bebendorf|first=Mario|date=2007|title=Why finite element discretizations can be factored by triangular hierarchical matrices|journal=SIAM J.
<ref name="GRKRBO09">{{cite journal|last=Grasedyck|first=Lars|last2=Kriemann|first2=Ronald|last3=Le Borne|first3=Sabine|date=2009|title=Domain decomposition based H-LU preconditioning|journal=Num. Math.|volume=112|issue=4|pages=565–600|doi=10.1007/s00211-009-0218-6}}</ref>
can be constructed using only recursion and multiplication.
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