In this paper, we propose a retrospective filter trust region algorithm for unconstrained optimization, which is based on the framework of the retrospective trust region method and associated with the technique of the...In this paper, we propose a retrospective filter trust region algorithm for unconstrained optimization, which is based on the framework of the retrospective trust region method and associated with the technique of the multi-dimensional filter. The new algorithm gives a good estimation of trust region radius, relaxes the condition of accepting a trial step for the usual trust region methods. Under reasonable assumptions, we analyze the global convergence of the new method and report the preliminary results of numerical tests. We compare the results with those of the basic trust region algorithm, the filter trust region algorithm and the retrospective trust region algorithm, which shows the effectiveness of the new algorithm.展开更多
Inferior vena cava thrombosis is an under-recognized entity associated with significant morbidity and mortality. This is the reason why, although the diagnosis is challenging, a high index of suspicion is required. Re...Inferior vena cava thrombosis is an under-recognized entity associated with significant morbidity and mortality. This is the reason why, although the diagnosis is challenging, a high index of suspicion is required. Regarding this condition, we present the case of a 63-year-old man who had repeatedly visited the emergency room suffering from abdominal and back pain and painful lower limb edema. After several tests, including magnetic resonance imaging (MRI), he was diagnosed to have agenesis of left renal vein and inferior vena cava thrombosis, from hypercoagulable state secondary to Antiphospholipid Syndrome. He had anticoagulation treatment with low-molecular-weight heparin with good subsequent evolution. This study sets out a descriptive retrospective study of fifty cases of inferior vena cava thrombosis diagnosed in a third-level hospital in the north of Spain over a ten-year period (2010-2018). The aim of this article is to identify the epidemiology, predisposing factors and symptoms that characterize this entity, in order to be able to achieve an early diagnosis that allows us to initiate immediate treatment, minimizing acute and chronic complications of this disease.展开更多
文摘In this paper, we propose a retrospective filter trust region algorithm for unconstrained optimization, which is based on the framework of the retrospective trust region method and associated with the technique of the multi-dimensional filter. The new algorithm gives a good estimation of trust region radius, relaxes the condition of accepting a trial step for the usual trust region methods. Under reasonable assumptions, we analyze the global convergence of the new method and report the preliminary results of numerical tests. We compare the results with those of the basic trust region algorithm, the filter trust region algorithm and the retrospective trust region algorithm, which shows the effectiveness of the new algorithm.
文摘Inferior vena cava thrombosis is an under-recognized entity associated with significant morbidity and mortality. This is the reason why, although the diagnosis is challenging, a high index of suspicion is required. Regarding this condition, we present the case of a 63-year-old man who had repeatedly visited the emergency room suffering from abdominal and back pain and painful lower limb edema. After several tests, including magnetic resonance imaging (MRI), he was diagnosed to have agenesis of left renal vein and inferior vena cava thrombosis, from hypercoagulable state secondary to Antiphospholipid Syndrome. He had anticoagulation treatment with low-molecular-weight heparin with good subsequent evolution. This study sets out a descriptive retrospective study of fifty cases of inferior vena cava thrombosis diagnosed in a third-level hospital in the north of Spain over a ten-year period (2010-2018). The aim of this article is to identify the epidemiology, predisposing factors and symptoms that characterize this entity, in order to be able to achieve an early diagnosis that allows us to initiate immediate treatment, minimizing acute and chronic complications of this disease.
