An application of matricial Fibonacci identities to the computation of spectral norms

DOI10.1216/RMJ-2014-44-3-877zbMath1312.15025MaRDI QIDQ457949

J. Herrera, D. Rodríguez-Gómez

Publication date: 30 September 2014

Published in: Rocky Mountain Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://projecteuclid.org/euclid.rmjm/1411945669

zbMATH Keywords

Frobenius normFibonacci numbersLucas numbersToeplitz matricescirculant matricesmatrix normssingular valueSchatten normFibonacci matricesspectral norm: Lucas matricesunitary invariant norm

Mathematics Subject Classification ID

Norms of matrices, numerical range, applications of functional analysis to matrix theory (15A60) Fibonacci and Lucas numbers and polynomials and generalizations (11B39) Toeplitz, Cauchy, and related matrices (15B05)

Related Items (1)

The Fibonacci identities of orthogonality

Cites Work

• Norm equalities and inequalities for operator matrices
• On the spectral norms of Cauchy-Toeplitz and Cauchy-Hankel matrices.
• On the norms of circulant matrices with the Fibonacci and Lucas numbers
• On the spectral norms of the matrices connected to integer number sequences
• The Fibonacci Numbers: Exposed
• A Theory of Cross-Spaces. (AM-26)
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