The \(\mu \)-permanent of a tridiagonal matrix, orthogonal polynomials, and chain sequences

DOI10.1016/j.laa.2009.10.036zbMath1183.15007OpenAlexW2121734506MaRDI QIDQ847213

Carlos Martins de Fonseca

Publication date: 12 February 2010

Published in: Linear Algebra and its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.laa.2009.10.036

zbMATH Keywords

Toeplitz matrixdeterminanttridiagonal matrixlocation of zerospermanentJacobi matrixchain sequences\(\mu \)-permanentorthogonal polynomials sequence

Mathematics Subject Classification ID

Determinants, permanents, traces, other special matrix functions (15A15) Miscellaneous inequalities involving matrices (15A45) Polynomials in real and complex fields: location of zeros (algebraic theorems) (12D10)

Related Items (1)

A note on Bapat's q-permanent conjecture

Cites Work

• Unnamed Item
• Unnamed Item
• An example of a generalized Brownian motion
• On the location of the eigenvalues of Jacobi matrices
• A generalization of permanents and determinants
• Inequalities for the \(q\)-permanent
• Inequalities for the \(q\)-permanent. II
• Immanantal invariants of graphs
• On a matrix function interpolating between determinant and permanent
• Quadratic forms and convergence regions for continued fractions
• On a conjecture about the μ-permanent
• Chain Sequences and Orthogonal Polynomials
• Generalized Matrix Functions
• The permanent analogue of the Hadamard determinant theorem
• Research problem

This page was built for publication: The \(\mu \)-permanent of a tridiagonal matrix, orthogonal polynomials, and chain sequences