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奇异值分解及其在北美陆地气温与我国降水遥相关中的应用
引用本文:魏凤英,曹鸿兴.奇异值分解及其在北美陆地气温与我国降水遥相关中的应用[J].高原气象,1997,16(2):174-182.
作者姓名:魏凤英  曹鸿兴
作者单位:中国气象科学研究院
摘    要:从矩阵理论的奇异值分解(SVD)定理出发,详细地论述了有关数学原理及计算方法,作为SVD的一个应用,计算了北美陆地气温场与我国夏季降水场的奇异值解,并对分离出的主相关区的可靠性及预报蕴示进行了讨论,结果表明:北美陆地气温与我国夏季降不存在明显的线性相关,尤其是冬季、陆地气温场以降江中下游及西北地区夏季降不有很好的指示意义

关 键 词:矩阵理论  奇异值分解  陆地气温  降水  遥相关

SINGULAR VALUE DECOMPOSITION AND ITS APPLICATION TO TELECONNECTION BETWEEN LAND AIR TEMPERATURE IN NORTH AMERICA AND RAINFALL IN CHINA
Wei Fengying,Cao Hongxing.SINGULAR VALUE DECOMPOSITION AND ITS APPLICATION TO TELECONNECTION BETWEEN LAND AIR TEMPERATURE IN NORTH AMERICA AND RAINFALL IN CHINA[J].Plateau Meteorology,1997,16(2):174-182.
Authors:Wei Fengying  Cao Hongxing
Abstract:In this paper,some mathematical computational methods on singular value decomposition(SVD) are described in detail in matrix theory SVD is a technique in analyzing teleconnection between two fields As an example,the SVD modes based on two fields between summer rainfall in China and land air temperature in North America are computed and credibility of teleconnection analyzed by SVD and the implication for forecasting are also discussed The results show that winter land air temperature over North America has premonition for forecasting summer rainfall over both the middle and lower reaches of Changjiang River and the northwestern part of China
Keywords:Matrix theory  Singular value decomposition  Land air temperature  Rainfall  Teleconnection
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