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EIGENVALUE CALCULATION DEVICE AND EIGENVALUE CALCULATION PROGRAM

机译:特征值计算装置和特征值计算程序

摘要

PROBLEM TO BE SOLVED: To reduce the number of product-sum operations to obtain an eigenvalue at high speed.;SOLUTION: This eigenvalue calculation device has: a QR decomposition means 21 performing QR decomposition of an input matrix; a diagonal component element arithmetic means 22 obtaining residual diagonal component elements except one element in diagonal component elements of a result obtained by performing an RQ operation by a result obtained by the QR decomposition means 21; a subtraction means 23 performing subtraction of a sum of the diagonal component elements from a total D of the diagonal component elements in the preceding input matrix; a residual element arithmetic means 24 performing an operation for obtaining elements except the diagonal component elements in an RQ arithmetic result using a QR decomposition resu and a control means 25 feeding an arithmetic result of the operation by the residual element arithmetic means 24 and arithmetic results by the diagonal component element arithmetic means 22 and the subtraction means 23 back to the QR decomposition means 21 as the input matrix when a decomposition finish frequency does not reach an input QR decomposition frequency, and outputting the arithmetic results of the diagonal component element arithmetic means 22 and the subtraction means 23 as the eigenvalue when the decomposition finish frequency accords with the input QR decomposition frequency.;COPYRIGHT: (C)2010,JPO&INPIT
机译:解决的问题:为了减少积和运算的次数以获得高速的特征值。解决方案:该特征值计算装置具有:QR分解装置21,其对输入矩阵进行QR分解。对角线成分元素运算单元22求出通过QR分解单元21的结果进行RQ运算而得到的结果的对角线成分元素中除一个元素以外的残留对角线元素成分。减法装置23从前面的输入矩阵中的对角线成分元素的总数D中减去对角线成分元素的总和。残留元素运算装置24进行利用QR分解结果求出RQ运算结果中的对角成分元素以外的元素的运算。当分解完成时,控制装置25将剩余元素算术装置24的运算的算术结果以及对角线成分元素算术装置22和减法装置23的算术结果作为输入矩阵反馈给QR分解装置21。频率未达到输入的QR分解频率,并且当分解结束频率与输入的QR分解频率一致时,输出对角线成分元素运算装置22和减法装置23的运算结果作为特征值。 2010,日本特许厅

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