{"schema_version":"1.0","canonical_url":"https://patentable.app/patents/US-8473533","patent":{"patent_number":"US-8473533","title":"Method and apparatus for harmonic balance using direct solution of HB jacobian","assignee":null,"inventors":[],"filing_date":"2010-06-17T00:00:00.000Z","publication_date":"2013-06-25T00:00:00.000Z","cpc_codes":["G06F","G06F"],"num_claims":20,"abstract":"A system, computer-readable storage medium, and method directly solves non-linear systems that have the HB Jacobian as the coefficient matrix. The direct solve method can be used to efficiently simulate non-linear circuits in RF or microwave applications. Additionally, the direct solve method can be applied to Fourier envelope applications. Furthermore, the direct solve method can be used together with preconditioners to provide a more efficient iterative solve technique."},"analysis":{"summary":null,"layman_explanation":null,"technical_analysis":null,"business_analysis":null,"faqs":null,"topics":[],"tech_cluster":null},"seo":{"title":"Method and apparatus for harmonic balance using direct solution of HB jacobian","description":"A system, computer-readable storage medium, and method directly solves non-linear systems that have the HB Jacobian as the coefficient matrix. The direct solve method can be used to efficiently simula","keywords":[]},"attribution":{"source":"Patentable","source_url":"https://patentable.app","canonical_url":"https://patentable.app/patents/US-8473533","license":"CC-BY-4.0-like","license_terms":"AI-generated analysis on this page (summary, layman_explanation, technical_analysis, business_analysis, faqs) may be reused with attribution and a visible link back to the canonical URL above. Patent abstracts, claims, and bibliographic data are USPTO public domain.","required_link":"https://patentable.app/patents/US-8473533","citation_suggestion":"Patentable. \"Method and apparatus for harmonic balance using direct solution of HB jacobian\" (US-8473533). https://patentable.app/patents/US-8473533","copyright_holder":"Nomic Interactive Technology LLC"},"links":{"html":"https://patentable.app/patents/US-8473533","json":"https://patentable.app/api/llm-context/US-8473533","site":"https://patentable.app","llms_txt":"https://patentable.app/llms.txt"},"generated_at":"2026-05-30T15:35:29.089Z"}