{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,3,29]],"date-time":"2025-03-29T16:52:36Z","timestamp":1743267156639,"version":"3.40.3"},"publisher-location":"Cham","reference-count":9,"publisher":"Springer Nature Switzerland","isbn-type":[{"type":"print","value":"9783031500770"},{"type":"electronic","value":"9783031500787"}],"license":[{"start":{"date-parts":[[2023,12,24]],"date-time":"2023-12-24T00:00:00Z","timestamp":1703376000000},"content-version":"tdm","delay-in-days":0,"URL":"https:\/\/www.springernature.com\/gp\/researchers\/text-and-data-mining"},{"start":{"date-parts":[[2023,12,24]],"date-time":"2023-12-24T00:00:00Z","timestamp":1703376000000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/www.springernature.com\/gp\/researchers\/text-and-data-mining"}],"content-domain":{"domain":["link.springer.com"],"crossmark-restriction":false},"short-container-title":[],"published-print":{"date-parts":[[2024]]},"DOI":"10.1007\/978-3-031-50078-7_30","type":"book-chapter","created":{"date-parts":[[2023,12,23]],"date-time":"2023-12-23T11:01:59Z","timestamp":1703329319000},"page":"379-390","update-policy":"https:\/\/doi.org\/10.1007\/springer_crossmark_policy","source":"Crossref","is-referenced-by-count":2,"title":["Algorithmic Computation of\u00a0Multivector Inverses and\u00a0Characteristic Polynomials in\u00a0Non-degenerate Clifford Algebras"],"prefix":"10.1007","author":[{"ORCID":"https:\/\/orcid.org\/0000-0001-8694-0535","authenticated-orcid":false,"given":"Dimiter","family":"Prodanov","sequence":"first","affiliation":[]}],"member":"297","published-online":{"date-parts":[[2023,12,24]]},"reference":[{"issue":"3","key":"30_CR1","doi-asserted-by":"publisher","first-page":"1","DOI":"10.1007\/s00006-018-0885-4","volume":"28","author":"A Acus","year":"2018","unstructured":"Acus, A., Dargys, A.: The inverse of a multivector: beyond the threshold $$p+q = 5$$. Adv. Appl. Clifford Algebras 28(3), 1\u201320 (2018). https:\/\/doi.org\/10.1007\/s00006-018-0885-4","journal-title":"Adv. Appl. Clifford Algebras"},{"key":"30_CR2","doi-asserted-by":"publisher","unstructured":"Acus, A., Dargys, A.: The characteristic polynomial in calculation of exponential and elementary functions in Clifford algebras. Math. Methods Appl. Sci. (2022). https:\/\/doi.org\/10.22541\/au.167101043.33855504\/v1","DOI":"10.22541\/au.167101043.33855504\/v1"},{"key":"30_CR3","volume-title":"Sbornik Zadatch po Vyshej Algebre","author":"DK Faddeev","year":"1949","unstructured":"Faddeev, D.K., Sominskij, I.S.: Sbornik Zadatch po Vyshej Algebre. Nauka, Moscow-Leningrad (1949)"},{"issue":"2","key":"30_CR4","doi-asserted-by":"publisher","first-page":"1","DOI":"10.1007\/s00006-019-0942-7","volume":"29","author":"E Hitzer","year":"2019","unstructured":"Hitzer, E., Sangwine, S.J.: Construction of multivector inverse for Clifford algebras over $$ 2 m + 1$$ - dimensional vector spaces from multivector inverse for clifford algebras over 2m-dimensional vector spaces. Adv. Appl. Clifford Algebras 29(2), 1\u201322 (2019). https:\/\/doi.org\/10.1007\/s00006-019-0942-7","journal-title":"Adv. Appl. Clifford Algebras"},{"key":"30_CR5","doi-asserted-by":"publisher","first-page":"375","DOI":"10.1016\/j.amc.2017.05.027","volume":"311","author":"E Hitzer","year":"2017","unstructured":"Hitzer, E., Sangwine, S.: Multivector and multivector matrix inverses in real Clifford algebras. Appl. Math. Comput. 311, 375\u2013389 (2017). https:\/\/doi.org\/10.1016\/j.amc.2017.05.027","journal-title":"Appl. Math. Comput."},{"key":"30_CR6","doi-asserted-by":"publisher","unstructured":"Prodanov, D.: Clifford Maxima package v 2.5.4. https:\/\/doi.org\/10.5281\/ZENODO.8205828, https:\/\/zenodo.org\/record\/8205828","DOI":"10.5281\/ZENODO.8205828"},{"key":"30_CR7","doi-asserted-by":"publisher","unstructured":"Prodanov, D.: Examples for CGI2023. https:\/\/doi.org\/10.5281\/ZENODO.8207889","DOI":"10.5281\/ZENODO.8207889"},{"key":"30_CR8","doi-asserted-by":"publisher","first-page":"1","DOI":"10.1007\/s00006-016-0682-x","volume":"27","author":"D Prodanov","year":"2016","unstructured":"Prodanov, D., Toth, V.T.: Sparse representations of Clifford and tensor algebras in Maxima. Adv. Appl. Clifford Algebras 27, 1\u201323 (2016). https:\/\/doi.org\/10.1007\/s00006-016-0682-x","journal-title":"Adv. Appl. Clifford Algebras"},{"issue":"5","key":"30_CR9","doi-asserted-by":"publisher","first-page":"173","DOI":"10.1007\/s40314-021-01536-0","volume":"40","author":"DS Shirokov","year":"2021","unstructured":"Shirokov, D.S.: On computing the determinant, other characteristic polynomial coefficients, and inverse in Clifford algebras of arbitrary dimension. Comp. Appl. Math. 40(5), 173 (2021). https:\/\/doi.org\/10.1007\/s40314-021-01536-0","journal-title":"Comp. Appl. Math."}],"container-title":["Lecture Notes in Computer Science","Advances in Computer Graphics"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/link.springer.com\/content\/pdf\/10.1007\/978-3-031-50078-7_30","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2023,12,23]],"date-time":"2023-12-23T11:06:14Z","timestamp":1703329574000},"score":1,"resource":{"primary":{"URL":"https:\/\/link.springer.com\/10.1007\/978-3-031-50078-7_30"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2023,12,24]]},"ISBN":["9783031500770","9783031500787"],"references-count":9,"URL":"https:\/\/doi.org\/10.1007\/978-3-031-50078-7_30","relation":{},"ISSN":["0302-9743","1611-3349"],"issn-type":[{"type":"print","value":"0302-9743"},{"type":"electronic","value":"1611-3349"}],"subject":[],"published":{"date-parts":[[2023,12,24]]},"assertion":[{"value":"24 December 2023","order":1,"name":"first_online","label":"First Online","group":{"name":"ChapterHistory","label":"Chapter History"}},{"value":"CGI","order":1,"name":"conference_acronym","label":"Conference Acronym","group":{"name":"ConferenceInfo","label":"Conference Information"}},{"value":"Computer Graphics International Conference","order":2,"name":"conference_name","label":"Conference Name","group":{"name":"ConferenceInfo","label":"Conference Information"}},{"value":"Shanghai","order":3,"name":"conference_city","label":"Conference City","group":{"name":"ConferenceInfo","label":"Conference Information"}},{"value":"China","order":4,"name":"conference_country","label":"Conference Country","group":{"name":"ConferenceInfo","label":"Conference Information"}},{"value":"2023","order":5,"name":"conference_year","label":"Conference Year","group":{"name":"ConferenceInfo","label":"Conference Information"}},{"value":"28 August 2023","order":7,"name":"conference_start_date","label":"Conference Start Date","group":{"name":"ConferenceInfo","label":"Conference Information"}},{"value":"1 September 2023","order":8,"name":"conference_end_date","label":"Conference End Date","group":{"name":"ConferenceInfo","label":"Conference Information"}},{"value":"cgi2023","order":10,"name":"conference_id","label":"Conference ID","group":{"name":"ConferenceInfo","label":"Conference Information"}},{"value":"Double-blind","order":1,"name":"type","label":"Type","group":{"name":"ConfEventPeerReviewInformation","label":"Peer Review Information (provided by the conference organizers)"}},{"value":"EasyChair","order":2,"name":"conference_management_system","label":"Conference Management System","group":{"name":"ConfEventPeerReviewInformation","label":"Peer Review Information (provided by the conference organizers)"}},{"value":"385","order":3,"name":"number_of_submissions_sent_for_review","label":"Number of Submissions Sent for Review","group":{"name":"ConfEventPeerReviewInformation","label":"Peer Review Information (provided by the conference organizers)"}},{"value":"149","order":4,"name":"number_of_full_papers_accepted","label":"Number of Full Papers Accepted","group":{"name":"ConfEventPeerReviewInformation","label":"Peer Review Information (provided by the conference organizers)"}},{"value":"0","order":5,"name":"number_of_short_papers_accepted","label":"Number of Short Papers Accepted","group":{"name":"ConfEventPeerReviewInformation","label":"Peer Review Information (provided by the conference organizers)"}},{"value":"39% - The value is computed by the equation \"Number of Full Papers Accepted \/ Number of Submissions Sent for Review * 100\" and then rounded to a whole number.","order":6,"name":"acceptance_rate_of_full_papers","label":"Acceptance Rate of Full Papers","group":{"name":"ConfEventPeerReviewInformation","label":"Peer Review Information (provided by the conference organizers)"}},{"value":"3","order":7,"name":"average_number_of_reviews_per_paper","label":"Average Number of Reviews per Paper","group":{"name":"ConfEventPeerReviewInformation","label":"Peer Review Information (provided by the conference organizers)"}},{"value":"3","order":8,"name":"average_number_of_papers_per_reviewer","label":"Average Number of Papers per Reviewer","group":{"name":"ConfEventPeerReviewInformation","label":"Peer Review Information (provided by the conference organizers)"}},{"value":"Yes","order":9,"name":"external_reviewers_involved","label":"External Reviewers Involved","group":{"name":"ConfEventPeerReviewInformation","label":"Peer Review Information (provided by the conference organizers)"}}]}}