{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,2,17]],"date-time":"2026-02-17T14:04:29Z","timestamp":1771337069898,"version":"3.50.1"},"publisher-location":"Cham","reference-count":16,"publisher":"Springer Nature Switzerland","isbn-type":[{"value":"9783031812439","type":"print"},{"value":"9783031812446","type":"electronic"}],"license":[{"start":{"date-parts":[[2025,1,1]],"date-time":"2025-01-01T00:00:00Z","timestamp":1735689600000},"content-version":"tdm","delay-in-days":0,"URL":"https:\/\/www.springernature.com\/gp\/researchers\/text-and-data-mining"},{"start":{"date-parts":[[2025,1,1]],"date-time":"2025-01-01T00:00:00Z","timestamp":1735689600000},"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":[[2025]]},"DOI":"10.1007\/978-3-031-81244-6_22","type":"book-chapter","created":{"date-parts":[[2024,12,31]],"date-time":"2024-12-31T13:44:58Z","timestamp":1735652698000},"page":"246-253","update-policy":"https:\/\/doi.org\/10.1007\/springer_crossmark_policy","source":"Crossref","is-referenced-by-count":1,"title":["Preconditioning Strategies for\u00a0RBF Interpolation"],"prefix":"10.1007","author":[{"ORCID":"https:\/\/orcid.org\/0000-0003-4646-2836","authenticated-orcid":false,"given":"Nadaniela","family":"Egidi","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"ORCID":"https:\/\/orcid.org\/0000-0001-7772-569X","authenticated-orcid":false,"given":"Josephin","family":"Giacomini","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-7609-0589","authenticated-orcid":false,"given":"Pierluigi","family":"Maponi","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"297","published-online":{"date-parts":[[2025,1,1]]},"reference":[{"key":"22_CR1","doi-asserted-by":"crossref","unstructured":"Fasshauer, G.E.: Meshfree approximation methods with MATLAB. World Scientific (2007)","DOI":"10.1142\/6437"},{"key":"22_CR2","doi-asserted-by":"publisher","first-page":"1","DOI":"10.1007\/s10092-018-0247-6","volume":"55","author":"S De Marchi","year":"2018","unstructured":"De Marchi, S., Iske, A., Santin, G.: Image reconstruction from scattered Radon data by weighted positive definite kernel functions. Calcolo 55, 1\u201324 (2018)","journal-title":"Calcolo"},{"issue":"2","key":"22_CR3","doi-asserted-by":"publisher","first-page":"41","DOI":"10.1007\/s10915-021-01432-z","volume":"87","author":"R Cavoretto","year":"2021","unstructured":"Cavoretto, R.: Adaptive radial basis function partition of unity interpolation: a bivariate algorithm for unstructured data. J. Sci. Comput. 87(2), 41 (2021)","journal-title":"J. Sci. Comput."},{"issue":"4","key":"22_CR4","doi-asserted-by":"publisher","first-page":"A2096","DOI":"10.1137\/120899108","volume":"35","author":"E Larsson","year":"2013","unstructured":"Larsson, E., Lehto, E., Heryudono, A., Fornberg, B.: Stable computation of differentiation matrices and scattered node stencils based on Gaussian radial basis functions. SIAM J. Sci. Comput. 35(4), A2096\u2013A2119 (2013)","journal-title":"SIAM J. Sci. Comput."},{"key":"22_CR5","doi-asserted-by":"publisher","DOI":"10.1016\/j.cam.2020.113314","volume":"388","author":"V Mohammadi","year":"2021","unstructured":"Mohammadi, V., Dehghan, M., De Marchi, S.: Numerical simulation of a prostate tumor growth model by the RBF-FD scheme and a semi-implicit time discretization. J. Comput. Appl. Math. 388, 113314 (2021)","journal-title":"J. Comput. Appl. Math."},{"key":"22_CR6","doi-asserted-by":"crossref","unstructured":"Fasshauer, G. E., Zhang, J. G.: Preconditioning of radial basis function interpolation systems via accelerated iterated approximate moving least squares approximation. In: Ferreira, A.J.M., Kansa, E.J., Fasshauer, G.E., Leit\u00e3o, V.M.A. (eds) Progress on Meshless Methods. Computational Methods in Applied Sciences 11. Springer, Dordrecht, 57\u201375 (2009)","DOI":"10.1007\/978-1-4020-8821-6_4"},{"issue":"5","key":"22_CR7","doi-asserted-by":"publisher","first-page":"320","DOI":"10.1016\/j.advengsoft.2006.08.012","volume":"38","author":"F Magoul\u00e8s","year":"2007","unstructured":"Magoul\u00e8s, F., Diago, L.A., Hagiwara, I.: Efficient preconditioning for image reconstruction with radial basis functions. Adv. Eng. Softw. 38(5), 320\u2013327 (2007)","journal-title":"Adv. Eng. Softw."},{"issue":"1","key":"22_CR8","doi-asserted-by":"publisher","first-page":"1","DOI":"10.1093\/imanum\/drh021","volume":"25","author":"AC Faul","year":"2005","unstructured":"Faul, A.C., Goodsell, G., Powell, M.J.D.: A Krylov subspace algorithm for multiquadric interpolation in many dimensions. IMA J. Numer. Anal. 25(1), 1\u201324 (2005)","journal-title":"IMA J. Numer. Anal."},{"issue":"5","key":"22_CR9","doi-asserted-by":"publisher","first-page":"1876","DOI":"10.1137\/060662083","volume":"29","author":"NA Gumerov","year":"2007","unstructured":"Gumerov, N.A., Duraiswami, R.: Fast radial basis function interpolation via preconditioned Krylov iteration. SIAM J. Sci. Comput. 29(5), 1876\u20131899 (2007)","journal-title":"SIAM J. Sci. Comput."},{"issue":"5","key":"22_CR10","first-page":"56","volume":"15","author":"S De Marchi","year":"2022","unstructured":"De Marchi, S., Egidi, N., Giacomini, J., Maponi, P., Perticarini, A.: Computational issues by interpolating with inverse multiquadrics: a solution. Dolomites Res. Notes Approximation 15(5), 56\u201364 (2022)","journal-title":"Dolomites Res. Notes Approximation"},{"key":"22_CR11","doi-asserted-by":"crossref","unstructured":"Giacomini, J.: RBFs preconditioning via Fourier decomposition method. In: American Institute of Physics Conference Series, vol. 3094, no. 1, p. 320005 (2024)","DOI":"10.1063\/5.0212993"},{"key":"22_CR12","doi-asserted-by":"publisher","first-page":"58287","DOI":"10.1109\/ACCESS.2021.3072495","volume":"9","author":"M Sajjad","year":"2021","unstructured":"Sajjad, M., Yusoff, M.Z., Yahya, N., Haider, A.S.: An efficient VLSI architecture for FastICA by using the algebraic Jacobi method for EVD. IEEE Access 9, 58287\u201358305 (2021)","journal-title":"IEEE Access"},{"issue":"19","key":"22_CR13","doi-asserted-by":"publisher","first-page":"9726","DOI":"10.3390\/app12199726","volume":"12","author":"R Ghayoula","year":"2022","unstructured":"Ghayoula, R., Amara, W., El Gmati, I., Smida, A., Fattahi, J.: An efficient FPGA implementation of MUSIC processor using cyclic jacobi method: LiDAR applications. Appl. Sci. 12(19), 9726 (2022)","journal-title":"Appl. Sci."},{"issue":"6","key":"22_CR14","doi-asserted-by":"publisher","first-page":"6275","DOI":"10.1109\/TVT.2020.2984705","volume":"69","author":"Z Shi","year":"2020","unstructured":"Shi, Z., He, Q., Liu, Y.: Accelerating parallel Jacobi method for matrix eigenvalue computation in DOA estimation algorithm. IEEE Trans. Veh. Technol. 69(6), 6275\u20136285 (2020)","journal-title":"IEEE Trans. Veh. Technol."},{"key":"22_CR15","unstructured":"Egidi, N., Giacomini, J., Maponi, P.: A perturbative approach for the solution of Sturm-Liouville problems. To appear in Applied and Computational Mathematics"},{"key":"22_CR16","doi-asserted-by":"crossref","unstructured":"Golub, G. H., Van Loan, C. F.: Matrix computations. JHU press (2013)","DOI":"10.56021\/9781421407944"}],"container-title":["Lecture Notes in Computer Science","Numerical Computations: Theory and Algorithms"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/link.springer.com\/content\/pdf\/10.1007\/978-3-031-81244-6_22","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2024,12,31]],"date-time":"2024-12-31T14:07:28Z","timestamp":1735654048000},"score":1,"resource":{"primary":{"URL":"https:\/\/link.springer.com\/10.1007\/978-3-031-81244-6_22"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2025]]},"ISBN":["9783031812439","9783031812446"],"references-count":16,"URL":"https:\/\/doi.org\/10.1007\/978-3-031-81244-6_22","relation":{},"ISSN":["0302-9743","1611-3349"],"issn-type":[{"value":"0302-9743","type":"print"},{"value":"1611-3349","type":"electronic"}],"subject":[],"published":{"date-parts":[[2025]]},"assertion":[{"value":"1 January 2025","order":1,"name":"first_online","label":"First Online","group":{"name":"ChapterHistory","label":"Chapter History"}},{"value":"NUMTA","order":1,"name":"conference_acronym","label":"Conference Acronym","group":{"name":"ConferenceInfo","label":"Conference Information"}},{"value":"International Conference on Numerical Computations: Theory and Algorithms","order":2,"name":"conference_name","label":"Conference Name","group":{"name":"ConferenceInfo","label":"Conference Information"}},{"value":"Pizzo Calabro","order":3,"name":"conference_city","label":"Conference City","group":{"name":"ConferenceInfo","label":"Conference Information"}},{"value":"Italy","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":"14 June 2023","order":7,"name":"conference_start_date","label":"Conference Start Date","group":{"name":"ConferenceInfo","label":"Conference Information"}},{"value":"20 June 2023","order":8,"name":"conference_end_date","label":"Conference End Date","group":{"name":"ConferenceInfo","label":"Conference Information"}},{"value":"4","order":9,"name":"conference_number","label":"Conference Number","group":{"name":"ConferenceInfo","label":"Conference Information"}},{"value":"numta2023","order":10,"name":"conference_id","label":"Conference ID","group":{"name":"ConferenceInfo","label":"Conference Information"}},{"value":"https:\/\/www.numta.org\/","order":11,"name":"conference_url","label":"Conference URL","group":{"name":"ConferenceInfo","label":"Conference Information"}}]}}