Abstract
In this chapter we solve the interpolation problem which consists in finding a matrix polynomial having each of a given set of matrix polynomials as a right polynomial divisor. This problem is a polynomial analogue of the problem solved in the previous chapter, and coincides with the problem of finding a common multiple of a given collection of polynomials. The complication arising in the matrix case is mostly due to the noncommutativity of matrix multiplication.
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Notes for Part II
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Ball, J.A., Gohberg, I., Rodman, L. (1990). Polynomial Interpolation Problems Based on Divisibility. In: Interpolation of Rational Matrix Functions. Operator Theory: Advances and Applications, vol 45. Birkhäuser, Basel. https://doi.org/10.1007/978-3-0348-7709-1_11
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DOI: https://doi.org/10.1007/978-3-0348-7709-1_11
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