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

Published online by Cambridge University Press:  31 March 2005

Hans Joachim Werner
Hans Joachim Werner
Affiliation:
University of Bonn, Germany
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Extract

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.

Type
SOLUTIONS TO PROBLEMS
Information
Econometric Theory , Volume 21 , Issue 2 , April 2005 , pp. 485 - 487
Copyright
© 2005 Cambridge University Press

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Footnotes

Excellent solutions have been proposed independently by Geert Dhaene (Katholieke Universiteit, Leuven, Belgium), Dietmar Bauer (Technische Universität, Wien, Austria), and Yongge Tian (Queens University, Canada), the poser of the problem.

References

REFERENCES

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