A Wiener–Kolmogorov Filter for Seasonal Adjustment and the Cholesky Decomposition of a Toeplitz Matrix

2020 ◽  
Author(s):  
Stephen Pollock ◽  
E Mise
Keyword(s):  
Toeplitz Matrix ◽  
Cholesky Decomposition ◽  
Seasonal Adjustment

scholarly journals Wellness Tourism—New Challenges and Opportunities for Tourism in Salou

2021 ◽  
Vol 13 (15) ◽  
pp. 8246
Author(s):  
Marta Gemma Nel-lo Andreu ◽  
Alba Font-Barnet ◽  
Marc Espasa Roca
Keyword(s):  
Environmental Sustainability ◽  
Seasonal Adjustment ◽  
Competitive Advantages ◽  
Strategic Renewal ◽  
Challenges And Opportunities ◽  
The Face ◽  
History Of ◽  
Wellness Tourism ◽  
Fundamental Value ◽  
The Impact

Following a long history of using various strategies and policies for diversification and seasonal adjustment in the face of the challenges of achieving economic, social, and environmental sustainability, sun and beach destinations should also consider targeting the wellness tourism market as a post pandemic opportunity and long-term solution. Salou is a mature sun and beach destination in the Mediterranean, but one which, for some time, has had an increasing commitment to family and sports tourism as a result of a strategic renewal process. Now, with the impact of the coronavirus pandemic, the destination management organization is considering the evolution of the model, the internalization of sustainability as a fundamental value, and the impact of different markets. In this study, we examined the challenges the Salou Tourist Board has faced during the development of a post pandemic model for sustainable tourism and what strategies it has adopted in response. We also considered the opportunities and competitive advantages that Salou has in the field of wellness tourism. The results obtained should encourage the continuation of work that promotes the environmental axis of sustainability and adds value to the natural resources on which it depends, including the sea and the landscape, while maintaining the environmental quality of the resources.

scholarly journals Toeplitz nonnegative realization of spectra via companion matrices

2019 ◽  
Vol 7 (1) ◽  
pp. 230-245
Author(s):  
Macarena Collao ◽  
Mario Salas ◽  
Ricardo L. Soto
Keyword(s):  
Eigenvalue Problem ◽  
Half Plane ◽  
Toeplitz Matrix ◽  
Toeplitz Matrices ◽  
Nonnegative Matrix ◽  
Inverse Eigenvalue Problem ◽  
Complex Numbers ◽  
Inverse Eigenvalue ◽  
Companion Matrices ◽  
Solution Matrix

Abstract The nonnegative inverse eigenvalue problem (NIEP) is the problem of finding conditions for the existence of an n × n entrywise nonnegative matrix A with prescribed spectrum Λ = {λ1, . . ., λn}. If the problem has a solution, we say that Λ is realizable and that A is a realizing matrix. In this paper we consider the NIEP for a Toeplitz realizing matrix A, and as far as we know, this is the first work which addresses the Toeplitz nonnegative realization of spectra. We show that nonnegative companion matrices are similar to nonnegative Toeplitz ones. We note that, as a consequence, a realizable list Λ= {λ1, . . ., λn} of complex numbers in the left-half plane, that is, with Re λi≤ 0, i = 2, . . ., n, is in particular realizable by a Toeplitz matrix. Moreover, we show how to construct symmetric nonnegative block Toeplitz matrices with prescribed spectrum and we explore the universal realizability of lists, which are realizable by this kind of matrices. We also propose a Matlab Toeplitz routine to compute a Toeplitz solution matrix.

A Real-Valued Toeplitz Matrix Method for DOA Estimation

2020 ◽  
Vol 43 (4) ◽  
pp. 350-356
Author(s):  
Jianxiong Li ◽  
Deming Li ◽  
Xianguo Li
Keyword(s):  
Toeplitz Matrix ◽  
Matrix Method ◽  
Doa Estimation
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