Compute limλ → 0X(λIp+YAX)−1Yby the product singular value decomposition

Yongxin Yuan, Kezheng Zuo · Linear and Multilinear Algebra · 2015

By applying the product singular value decomposition of a matrix pair, some necessary and sufficient conditions for the existence of the are established and the limit expressions for some important generalized inverses are introduced.

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