摘要
In[3],akindofmatrix-valuedrationalinterpolants(MRIs)intheformofRn(x)=M(x)/D(x)withthedivisibilityconditionD(x)|‖M(x)‖2,wasdefined,andthecharacterizationtheoremanduniquenesstheoremforMRIswereproved.Howeverthisdivisibilityconditionisfoundnotnecessaryinsomecases.Inthispaper,weremovethisrestrictedcondition,definethegeneralizedmatrix-valuedrationalinterpolants(GMRIs)andestablishthecharacterizationtheoremanduniquenesstheoremforGMRIs.OnecanseethatthecharacterizationtheoremanduniquenesstheoremforMRIsarethespecialcasesofthoseforGMRIs.Moreover,bydefiningakindofinnerproduct,wesucceedinunifyingtheSamelsoninversesforavectorandamatrix.
出版日期
2005年04月14日（中国期刊网平台首次上网日期，不代表论文的发表时间）
