Structured minimal-memory inexact quasi-Newton method and secant preconditioners for augmented Lagrangian optimization

Augmented Lagrangian methods for large-scale optimization usually require efficient algorithms for minimization with box constraints. On the other hand, active-set box-constraint methods employ unconstrained optimization algorithms for minimization inside the faces of the box. Several approaches may be employed for computing internal search directions in the large-scale case. In this paper a minimal-memory quasi-Newton approach with secant preconditioners is proposed, taking into account the structure of Augmented Lagrangians that come from the popular Powell-Hestenes-Rockafellar scheme. A combined algorithm, that uses the quasi-Newton formula or a truncated-Newton procedure, depending on the presence of active constraints in the penalty-Lagrangian function, is also suggested. Numerical experiments using the Cute collection are presented.

The politics of memory in Harold Pinter's Ashes to Ashes

The present work proposes an investigation of the treatment given to memory in Pinter’s latest play, Ashes to Ashes, and of its function in the development of Pinter’s work. In order to do that, different aspects of the construction of meaning in the theatre are analysed, so that the specificity of its reception is determined. A survey of techniques used to present information, time and space in the theatre is made. The analytical drama, the history drama, and the theatre of the absurd are defined. After that, the evolution of the author’s work is analysed to determine what characterises Pinter’s work, while at the same time determining how his treatment of themes like menace, memory, and political oppression of the individual has evolved. Finally, a detailed survey of the apparently disconnected elements that are mentioned in Ashes to Ashes is made. The intertextual analysis allied to a study of the analytical form as used in this play enables the discovery of several layers of meaning. Through the connection established between the Holocaust and man’s fall followed by expulsion from Eden, Pinter examines the use of memory as a way of dealing with personal and collective responsibility and guilt. It is through the recovery of memory (also through writing) that the present can establish a critical and responsible relation with the past.

A note on Chambers's "long memory and aggregation in macroeconomic time series"

Chambers (1998) explores the interaction between long memory and aggregation. For continuous-time processes, he takes the aliasing effect into account when studying temporal aggregation. For discrete-time processes, however, he seems to fail to do so. This note gives the spectral density function of temporally aggregated long memory discrete-time processes in light of the aliasing effect. The results are different from those in Chambers (1998) and are supported by a small simulation exercise. As a result, the order of aggregation may not be invariant to temporal aggregation, specifically if d is negative and the aggregation is of the stock type.

Robustness of stationary tests under long-memory alternatives

This paper investigates the presence of long memory in financiaI time series using four test statistics: V/S, KPSS, KS and modified R/S. There has been a large amount of study on the long memory behavior in economic and financiaI time series. However, there is still no consensus. We argue in this paper that spurious short-term memory may be found due to the incorrect use of data-dependent bandwidth to estimating the longrun variance. We propose a partially adaptive lag truncation procedure that is robust against the presence of long memory under the alternative hypothesis and revisit several economic and financiaI time series using the proposed bandwidth choice. Our results indicate the existence of spurious short memory in real exchange rates when Andrews' formula is employed, but long memory is detected when the proposed lag truncation procedure is used. Using stock market data, we also found short memory in returns and long memory in volatility.