Ronald Katende

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20242026

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math.NA2026

Core-Conditioned Regularized Matrix Tri-Factorization for High-Dimensional Structured Systems

Ronald Katende

This paper studies a regularized matrix tri-factorization $A\approx PDQ$, where $P$ and $Q$ are side factors and $D$ is a central core whose conditioning can be explicitly…

math.NA2025

Structured Variational $D$ -Decomposition for Accurate and Stable Low-Rank Approximation

Ronald Katende

We introduce the $D$ -decomposition, a non-orthogonal matrix factorization of the form $A \approx P D Q$ , where $P \in R^{n \times k}$ , $D \in R^{k \times k}$ , and…

math.NA2024

A Nonlinear Generalization of the Bauer-Fike Theorem and Novel Iterative Methods for Solving Nonlinear Eigenvalue Problems

Ronald Katende

Nonlinear eigenvalue problems (NEPs) present significant challenges due to their inherent complexity and the limitations of traditional linear eigenvalue theory. This paper address…

Core-Conditioned Regularized Matrix Tri-Factorization for High-Dimensional Structured Systems

Structured Variational D-Decomposition for Accurate and Stable Low-Rank Approximation

A Nonlinear Generalization of the Bauer-Fike Theorem and Novel Iterative Methods for Solving Nonlinear Eigenvalue Problems

Structured Variational $D$ -Decomposition for Accurate and Stable Low-Rank Approximation