Matrix refinement type equations
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摘要
Taking advantage of perpetuities and the asymptotic behavior of products of random matrices we obtain the direct form of the Fourier transform of an L1-solution of the following random matrix refinement type equationf(x)=∫Ω|detL(ω)|C(ω)f(L(ω)x-M(ω))P(dω),where M:Ω→Rp is a random vector and L:Ω→Rp×p,C:Ω→Rq×q are random matrices. Moreover, the dimension of the space of all L1-solutions of this refinement type equation is examined.
论文关键词:Products of random matrices,Perpetuities,Iterative equations,L1-Solutions
论文评审过程:Available online 9 March 2011.
论文官网地址:https://doi.org/10.1016/j.amc.2011.03.015