Develops the first low-rank ADI algorithm for non-symmetric algebraic Riccati equations, with autonomous shift generation, and demonstrates it on a benchmark problem of order 10^6.
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4 Pith papers cite this work. Polarity classification is still indexing.
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Pith papers citing it
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2026 4verdicts
UNVERDICTED 4representative citing papers
The paper introduces an LDL^T-based generalized low-rank ADI algorithm that solves general-form continuous-time algebraic Riccati equations of order up to 10^7 by computing low-rank factors efficiently.
The NKP-FoNSPN and TNKP-FoNSPN algorithms extend conventional NSPN filters with fractional-order stochastic gradient descent and efficient Kronecker decompositions to achieve lower steady-state misadjustment in challenging noise for active noise control.
A deflation-based preconditioner is proposed to robustly handle ill-conditioned systems arising from small cut elements in immersed finite element methods.
citing papers explorer
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A Low-rank ADI Algorithm for Solving Large-scale Non-symmetric Algebraic Riccati Equations
Develops the first low-rank ADI algorithm for non-symmetric algebraic Riccati equations, with autonomous shift generation, and demonstrates it on a benchmark problem of order 10^6.
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$LDL^\top$ Factorization-based Generalized Low-rank ADI Algorithm for Solving Large-scale Algebraic Riccati Equations
The paper introduces an LDL^T-based generalized low-rank ADI algorithm that solves general-form continuous-time algebraic Riccati equations of order up to 10^7 by computing low-rank factors efficiently.
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Fractional-Order Subband p-Norm Adaptive Filter via Transformation Nearest Kronecker Product Decomposition for Active Noise Control
The NKP-FoNSPN and TNKP-FoNSPN algorithms extend conventional NSPN filters with fractional-order stochastic gradient descent and efficient Kronecker decompositions to achieve lower steady-state misadjustment in challenging noise for active noise control.
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Deflation-based preconditioning for immersed finite element methods and immersogeometric analysis
A deflation-based preconditioner is proposed to robustly handle ill-conditioned systems arising from small cut elements in immersed finite element methods.