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Abstract Using the symbol functions and their associated Fourier series, we introduce a new definition of geometric mean for all positive semi-definite Toeplitz matrices and positive semi-definite block-Toeplitz matrices with… Click to show full abstract
Abstract Using the symbol functions and their associated Fourier series, we introduce a new definition of geometric mean for all positive semi-definite Toeplitz matrices and positive semi-definite block-Toeplitz matrices with Toeplitz structured blocks (TBBT). The proposed definition preserves the structure of the matrices and satisfies some important Ando–Li–Mathias properties, such as monotonicity and continuity. Also, it has low cost and is simple to calculate.
Keywords:
block toeplitz;
toeplitz matrices;
toeplitz;
mean toeplitz;
block;
geometric mean
Journal Title: Linear Algebra and its Applications
Year Published: 2018
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Journal Title: Linear Algebra and its Applications
Year Published: 2018
Link to full text (if available)
Share on Social Media: Sign Up to like & get
recommendations!