Some new Properties of Sequence Spaces and Application to the Continued Fractions
Bruno de Malafosse (2001)
Matematički Vesnik
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Some new Properties of Sequence Spaces and Application to the Continued Fractions
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We generalize the theory of positive diagonal scalings of real positive definite matrices to complex diagonal scalings of complex positive definite matrices. A matrix A is a diagonal scaling of a positive definite matrix M if there exists an invertible complex diagonal matrix D such that A = D*MD and where every row and every column of A sums to one. We look at some of the key properties of complex diagonal scalings and we conjecture that every n by n positive definite matrix has at...