Hiroyuki Ochiai 研究室

AI 要約（直近 5 年の研究成果）

※ AI（Claude）が、公開されている論文要旨から研究の問い・手法・主要な発見を事実情報として抽出・再構成して自動生成しています。誤りを含む可能性があるため、正確性は研究室公式情報でご確認ください。

研究成果（14 件）

• [2026] Convergence rate of alternating projection method for the intersection of an affine subspace and the second-order cone
  DOI: https://doi.org/10.1007/s10898-025-01581-7
• [2026] Fuchsian Differential Equations of Order 3, ..., 6 with Three Singular Points and an Accessory Parameter
  DOI: https://doi.org/10.1619/fesi.69.1
• [2025] Multi-order asymptotic expansion of blow-up solutions for autonomous ODEs: I. Method and justification
  DOI: https://doi.org/10.1088/1361-6544/adb52d
• [2025] Multi-order asymptotic expansion of blow-up solutions for autonomous ODEs: II. Dynamical correspondence
  DOI: https://doi.org/10.1088/1361-6544/adb52e
• [2025] Computations of algebraic modular forms associated with the definite quaternion algebra of discriminant 2
  DOI: https://doi.org/10.1016/j.jsc.2025.102485
• [2025] Expansions of the characteristic polynomial of a perturbed PSD matrix and convergence analysis of alternating projections for the PSD cone and a line
  DOI: https://doi.org/10.1007/s11590-025-02196-3
• [2024] Analytic formulas for alternating projection sequences for the positive semidefinite cone and an application to convergence analysis
  DOI: https://doi.org/10.1016/j.jmaa.2024.129070
• [2024] A D-module approach to invariant distributions with finitely many orbits
  DOI: https://doi.org/10.1016/j.indag.2024.07.006
• [2023] Exact convergence rates of alternating projections for nontransversal intersections
  DOI: https://doi.org/10.1007/s13160-023-00584-9
• [2022] Comments on efficient batch verification test for digital signatures based on elliptic curves
  DOI: https://doi.org/10.1515/ms-2022-0038

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