Branquinho, Amílcar
- Positive bidiagonal factorization of tetradiagonal Hessenberg matrices
2022/10/13 by Branquinho, Amílcar, Foulquié-Moreno, Ana, Mañas, Manuel · 2 citations
#15B48 #33C45 #33C47 #42C05 #47B28 #47B36 #47B39 #Classical Analysis and ODEs (math.CA) #FOS: Mathematics #Functional Analysis (math.FA)
- Spectral theory for bounded banded matrices with positive bidiagonal factorization and mixed multiple orthogonal polynomials
2022/12/20 by Amílcar Branquinho, Ana Foulquié‐Moreno, Branquinho, Amílcar +3 · 2 citations
Computer Science · Mathematics · Physics and Astronomy · #33C45 #33C47 #42C05 #47B36 #47B39 #Classical Analysis and ODEs (math.CA) #FOS: Mathematics #FOS: Physical sciences #Functional Analysis (math.FA) #Mathematical Physics (math-ph) #Mathematical functions and polynomials #Matrix Theory and Algorithms #Optical and Acousto-Optic Technologies
- Finite Markov chains and multiple orthogonal polynomials
2023/07/31 by Amílcar Branquinho, Branquinho, Amílcar, Juan E. F. Díaz +5 · 2 citations
Chemistry · Mathematics · Physics and Astronomy · #33C45 #33C47 #42C05 #47B36 #47B39 #60J10 #60J22 #Advanced Mathematical Theories and Applications #Classical Analysis and ODEs (math.CA) #FOS: Mathematics #FOS: Physical sciences #Mathematical Physics (math-ph) #Mathematical functions and polynomials #Probability (math.PR) #Spectroscopy and Chemometric Analyses
- Matrix Orthogonal Polynomials: A Riemann--Hilbert approach
2023/05/31 by Branquinho, Amílcar, Foulquié-Moreno, Ana, Fradi, Assil +1 · 1 citation
#Classical Analysis and ODEs (math.CA) #FOS: Mathematics
- Generalized semiclassical orthogonal polynomials on the unit circle: A Riemann-Hilbert perspective
2024/06/11 by Amí lcar Branquinho, Ana Foulquié‐Moreno, Branquinho, Amílcar +3 · 1 citation
Computer Science · Mathematics · #42C05 and 33C45 and 33C47 and 47A56 and 47A75 #Classical Analysis and ODEs (math.CA) #Differential Equations and Boundary Problems #FOS: Mathematics #Mathematical functions and polynomials #Matrix Theory and Algorithms
- Classical multiple orthogonal polynomials for arbitrary number of weights and their explicit representation
2024/04/22 by Amílcar Branquinho, Juan E. F. Díaz, Branquinho, Amílcar +5 · 2 citations
Mathematics · #33C45 #33C47 #42C05 #47B36 #47B39 #Classical Analysis and ODEs (math.CA) #FOS: Mathematics #FOS: Physical sciences #Mathematical Physics (math-ph) #Mathematical functions and polynomials
- Banded totally positive matrices and normality for mixed multiple orthogonal polynomials
2024/04/22 by Amílcar Branquinho, Branquinho, Amílcar, Ana Foulquié‐Moreno +3 · 2 citations
Computer Science · Mathematics · #33C45 #33C47 #42C05 #47B36 #47B39 #Advanced Optimization Algorithms Research #Classical Analysis and ODEs (math.CA) #FOS: Mathematics #FOS: Physical sciences #Mathematical Physics (math-ph) #Matrix Theory and Algorithms #Statistical and numerical algorithms
- Integral and hypergeometric representations for multiple orthogonal polynomials
2024/07/20 by Amílcar Branquinho, Juan E. F. Díaz, Branquinho, Amílcar +7 · 2 citations
Mathematics · #33C45 #33C47 #42C05 #Classical Analysis and ODEs (math.CA) #FOS: Mathematics #FOS: Physical sciences #Mathematical Physics (math-ph) #Statistical and numerical algorithms
- Markov Chains and Multiple Orthogonality
2023/04/10 by Branquinho, Amílcar, Díaz, Juan E. F., Foulquié-Moren, Ana +1 · 1 citation
#33C45 #33C47 #42C05 #60Gxx #60J10 #Classical Analysis and ODEs (math.CA) #FOS: Mathematics #Probability (math.PR)
- Hypergeometric Expressions for Type I Jacobi-Piñeiro Orthogonal Polynomials with Arbitrary Number of Weights
2023/10/27 by Amílcar Branquinho, Juan E. F. Díaz, Branquinho, Amílcar +5 · 1 citation
Mathematics · Physics and Astronomy · #33C45 #33C47 #42C05 #47A56 #Classical Analysis and ODEs (math.CA) #FOS: Mathematics #Mathematical functions and polynomials #Nonlinear Waves and Solitons #Quantum Mechanics and Non-Hermitian Physics