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(Referência obtida automaticamente do Web of Science, por meio da informação sobre o financiamento pela FAPESP e o número do processo correspondente, incluída na publicação pelos autores.)

Under-relaxed quasi-Newton acceleration for an inverse fixed-point problem coming from Positron Emission Tomography

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Autor(es):
dos Santos, Tiara Martini [1] ; Reips, Louise [2] ; Martinez, Jose Mario [3]
Número total de Autores: 3
Afiliação do(s) autor(es):
[1] Univ Fed Sao Paulo, Inst Sci & Technol, Ave Cesare Mansueto Giulio Lattes 1201, BR-12247014 Sao Jose Dos Campos - Brazil
[2] Univ Fed Santa Catarina, Dept Math, Blumenau, SC - Brazil
[3] Univ Estadual Campinas, Dept Appl Math, IMECC, UNICAMP, Campinas, SP - Brazil
Número total de Afiliações: 3
Tipo de documento: Artigo Científico
Fonte: Journal of Inverse and Ill-Posed Problems; v. 26, n. 6, p. 755-770, DEC 2018.
Citações Web of Science: 0
Resumo

Quasi-Newton acceleration is an interesting tool to improve the performance of numerical methods based on the fixed-point paradigm. In this paper, a briefly description of the compartmental model employed for a typical task in perfusion imaging is presented. Next, a quasi-Newton strategy for accelerating the convergence of fixed-point iterations is analyzed. For that, classical secant updates are considered. Finally, the quasi-Newton strategy is applied on the practical problem of represent the kinetic behavior of a PET (Positron Emission Tomography) tracer during cardiac perfusion. The performance of the method when applied to real data problems is illustrated numerically. (AU)

Processo FAPESP: 12/10444-0 - Um novo software integrado para sistemas não lineares
Beneficiário:Tiara Martini dos Santos
Linha de fomento: Bolsas no Brasil - Doutorado