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.
Title resolution pending
2 Pith papers cite this work. Polarity classification is still indexing.
2
Pith papers citing it
fields
math.NA 2years
2026 2verdicts
UNVERDICTED 2representative 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.
citing papers explorer
-
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.
-
$LDL^\top$ 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.