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A real vector space combined with an inverse for vectors is sufficient todefine a vector continued fraction whose parameters consist of vector shiftsand changes of scale. The choice of sign for different components of the vectorinverse permits construction of vector analogues of the Jacobi continuedfraction. These vector Jacobi fractions are related to vector and scalar-valuedpolynomial functions of the vectors, which satisfy recurrence relations similarto those of orthogonal polynomials. The vector Jacobi fraction has strongconvergence properties which are demonstrated analytically, and illustratednumerically.Comment: Published form - minor change

Vector continued fractions using a generalized inverse