Bauer's spectral factorization method for low order multiwavelet filter design (Q6145227)

scientific article; zbMATH DE number 7797211

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English	Bauer's spectral factorization method for low order multiwavelet filter design	scientific article; zbMATH DE number 7797211

Statements

instance of

scholarly article

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title

Bauer's spectral factorization method for low order multiwavelet filter design (English)

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arXiv ID

2312.05418

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DOI

10.1016/j.cam.2023.115713

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Journal of Computational and Applied Mathematics

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publication date

30 January 2024

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full work available at URL

https://arxiv.org/abs/2312.05418

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Mathematics Subject Classification ID

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matrix spectral factorization

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Bauer's method

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supercompact multiwavelet

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multiscaling function

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Hermitian polynomial matrices

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integer multiwavelet

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convergence analysis

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discrete algebraic Riccati equation (DARE)

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exact spectral factors

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MaRDI profile type

MaRDI publication profile

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The prediction theory of multivariate stochastic processes. I. The regularity condition. - II. The linear predictor

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A simple proof of the matrix-valued Fejér--Riesz theorem

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The matrix-valued Riesz lemma and local orthonormal bases in shift-invariant spaces

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Matrix spectral factorization for SA4 multiwavelet

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On the Algorithmization of Janashia-Lagvilava Matrix Spectral Factorization Method

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Bauer-type factorization of positive matrices and the theory of matrix polynomials orthogonal on the unit circle

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Factorization of the Covariance Generating Function of a Pure Moving Average Process

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Effective fast algorithms for polynomial spectral factorization

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A study of orthonormal multi-wavelets

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Q3245552

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Q3618743

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Toward solution of matrix equation $X=Af(X)B+C$

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The submatrix constraint problem of matrix equation $AXB+CYD=E$

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On the existence of a positive definite solution of the matrix equation $X+A^ T X^{-1} A=I$

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Gradient based iterative algorithms for solving a class of matrix equations

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Solvability and sensitivity analysis of polynomial matrix equation $X^s + A^TX^tA = Q$

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On the Hermitian positive definite solutions of nonlinear matrix equation $X^s + A^*X^{-t}A = Q$

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Solutions and perturbation analysis for the nonlinear matrix equation $X + \sum^m_{i=1} A^*_i X^{-1} A_i = I$

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Thompson metric method for solving a class of nonlinear matrix equation

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On the matrix equation $X+A^ TX^{-1}A=I$

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Necessary and sufficient conditions for the existence of a positive definite solution of the matrix equation $X+A^*X^{-1}A=Q$

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Hermitian solutions of the equation $X=Q+NX^{-1}N^*$

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Computing the Extremal Positive Definite Solutions of a Matrix Equation

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Q4850020

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An algorithm for computing positive definite solutions of the nonlinear matrix equationX + A*X−1A = I

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Improved methods and starting values to solve the matrix equations $X\pm A^*X^{-1}A=I$ iteratively

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Convergence Rates for Newton’s Method at Singular Points

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Analysis of Newton’s Method at Irregular Singularities

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Newton's Method for Discrete Algebraic Riccati Equations when the Closed-Loop Matrix Has Eigenvalues on the Unit Circle

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Convergence Rate of an Iterative Method for a Nonlinear Matrix Equation

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On the Regularity of Matrix Refinable Functions

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mardi Publication:6145227