Time Series Econometrics by Klaus Neusser

Time Series Econometrics by Klaus Neusser

Author:Klaus Neusser
Language: eng
Format: epub, pdf
Publisher: Springer International Publishing


where tr (A′A) denotes the trace of A′A, i.e. the sum of the diagonal elements of A′A, and where are the n eigenvalues of A′A.

The matrix norm has the following properties:

The last property is called submultiplicativity .

A sequence of matrices , , is called absolutely summable if and only if ; the sequence is said to be quadratic summable if and only if . The absolute summability implies the quadratic summability, but not vice versa.

Corollary 10.1.

Absolute summability of is equivalent to the absolute summability of each sequence , , i.e. to exists and is finite.



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