Extension and further development of the differential calculus for matrix norms with applications
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摘要
In this paper, the differential calculus for the operator norms ||·||p,p∈{1,2,∞}, of the fundamental matrix or evolution Φ(t)=eAt,t⩾0, of a complex n×n matrix A, introduced by the author in a former paper, is extended to m times continuously differentiable matrix functions χ(t),t⩾0, and developed further for other p-norms |·|p,1
论文关键词：Differential calculus for norms of a matrix function,Remainder,Best upper bound,Logarithmic derivative,Application to vibration problem
论文评审过程：Received 5 October 2001, Revised 24 June 2002, Available online 4 June 2003.
论文官网地址：https://doi.org/10.1016/S0377-0427(03)00385-6
