{"schema_version":"1.0","canonical_url":"https://patentable.app/patents/US-11256780","patent":{"patent_number":"US-11256780","title":"Methods and apparatus for fast eigenvalue decomposition of Hermitian matrices","assignee":null,"inventors":[],"filing_date":"2021-05-20T00:00:00.000Z","publication_date":"2022-02-22T00:00:00.000Z","cpc_codes":["G06F","H04B","H04B"],"num_claims":23,"abstract":"Methods and apparatus for fast Eigenvalue decomposition of Hermitian matrices are disclosed. In an exemplary embodiment, a method is provided for performing a decomposition iteration that includes identifying a largest off-diagonal term of a channel response matrix X, generating a 2×2 Hermitian matrix X2 that includes the largest off-diagonal term, and generating a 2×2 Unitary matrix Ū2 from the 2×2 Hermitian matrix X2. The decomposition iteration also includes multiplying the 2×2 Unitary matrix Ū2 with the 2×2 Hermitian matrix X2 to generate an updated largest off-diagonal term and updating the channel response matrix X with the updated largest off-diagonal term. The method also includes performing one or more additional decomposition iterations until all off-diagonal terms of the channel response matrix X are less than a target value."},"analysis":{"summary":null,"layman_explanation":null,"technical_analysis":null,"business_analysis":null,"faqs":null,"topics":[],"tech_cluster":null},"seo":{"title":"Methods and apparatus for fast eigenvalue decomposition of Hermitian matrices","description":"Methods and apparatus for fast Eigenvalue decomposition of Hermitian matrices are disclosed. In an exemplary embodiment, a method is provided for performing a decomposition iteration that includes ide","keywords":[]},"attribution":{"source":"Patentable","source_url":"https://patentable.app","canonical_url":"https://patentable.app/patents/US-11256780","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-11256780","citation_suggestion":"Patentable. \"Methods and apparatus for fast eigenvalue decomposition of Hermitian matrices\" (US-11256780). https://patentable.app/patents/US-11256780","copyright_holder":"Nomic Interactive Technology LLC"},"links":{"html":"https://patentable.app/patents/US-11256780","json":"https://patentable.app/api/llm-context/US-11256780","site":"https://patentable.app","llms_txt":"https://patentable.app/llms.txt"},"generated_at":"2026-05-30T12:46:18.741Z"}