Multiplication of diagonal transforms of Loewner matrices
The author gives a new formula for multiplication of matrices as appropriate diagonal transformations of Loewner matrices. In the case of symmetric Loewner matrices it is shown that special subclasses form multiplicative groups. Some extensions of known results about polynomials associated with Hankel and Loewner matrices are given. Finally, a previously found formula of the author describing the inverses of Loewner matrices is shown to be a consequence of the results of this paper.
scientific article; zbMATH DE number 4033926