Solutions to Problems Posed in Volume 20(1) and 20(2): 04.2.1. A Range Equality for Block Matrices with Orthogonal Projectors—Solution

Hans Joachim Werner

Econometric Theory, 2005, vol. 21, issue 2, 485-487

Abstract: This solution offers additional insights into the theory of block-tridiagonal Toeplitz matrices. Block Toeplitz matrices have constant blocks on each block diagonal parallel to the block main diagonal. A block partitioned matrix is said to be block-tridiagonal if the nonzero blocks occur only on the block subdiagonal, the block main diagonal, and the block superdiagonal. Block-tridiagonal Toeplitz matrices are particularly nice in that they are inexpensive to investigate. Our first observation on such particular block Toeplitz matrices is easy to check, and its proof is therefore left to the reader.

Date: 2005
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