关键词: 星形弹簧； 箭状矩阵； 振动反问题； 奇异值分解

Abstract:

Using the singular value decomposition (SVD) of a matrix the authors studied an  inverse problem of block arrowlike matrices. The necessary and sufficient conditions of the existence of its unique solution and the expressions of the solution were obtained.

Key words: starlike spring, arrowlike matrices, vibration inverse problem, singular value decomposition(SVD)