{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,3,25]],"date-time":"2025-03-25T22:57:11Z","timestamp":1742943431950,"version":"3.40.3"},"publisher-location":"Cham","reference-count":15,"publisher":"Springer International Publishing","isbn-type":[{"type":"print","value":"9783030558734"},{"type":"electronic","value":"9783030558741"}],"license":[{"start":{"date-parts":[[2012,2,24]],"date-time":"2012-02-24T00:00:00Z","timestamp":1330041600000},"content-version":"tdm","delay-in-days":0,"URL":"https:\/\/www.springer.com\/tdm"},{"start":{"date-parts":[[2012,2,24]],"date-time":"2012-02-24T00:00:00Z","timestamp":1330041600000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/www.springer.com\/tdm"}],"content-domain":{"domain":["link.springer.com"],"crossmark-restriction":false},"short-container-title":[],"published-print":{"date-parts":[[2021]]},"DOI":"10.1007\/978-3-030-55874-1_33","type":"book-chapter","created":{"date-parts":[[2021,5,3]],"date-time":"2021-05-03T11:52:51Z","timestamp":1620042771000},"page":"343-351","update-policy":"https:\/\/doi.org\/10.1007\/springer_crossmark_policy","source":"Crossref","is-referenced-by-count":3,"title":["Computing Function of Large Matrices by a Preconditioned Rational Krylov Method"],"prefix":"10.1007","author":[{"given":"Daniele","family":"Bertaccini","sequence":"first","affiliation":[]},{"given":"Fabio","family":"Durastante","sequence":"additional","affiliation":[]}],"member":"297","published-online":{"date-parts":[[2012,2,24]]},"reference":[{"key":"33_CR1","doi-asserted-by":"publisher","first-page":"470","DOI":"10.1016\/j.jcp.2019.07.009","volume":"396","author":"L Aceto","year":"2019","unstructured":"Aceto, L., Bertaccini, D., Durastante, F., Novati, P.: Rational Krylov methods for functions of matrices with applications to fractional partial differential equations. J. Comput. Phys. 396, 470\u2013482 (2019)","journal-title":"J. Comput. Phys."},{"issue":"1","key":"33_CR2","doi-asserted-by":"publisher","first-page":"1","DOI":"10.1007\/s00211-019-01048-4","volume":"143","author":"L Aceto","year":"2019","unstructured":"Aceto, L., Novati, P.: Rational approximations to fractional powers of self-adjoint positive operators. Numer. Math. 143(1), 1\u201316 (2019)","journal-title":"Numer. Math."},{"key":"33_CR3","unstructured":"Axelsson, O.: Iterative solution methods. Cambridge University press (1996)"},{"issue":"5","key":"33_CR4","doi-asserted-by":"publisher","first-page":"2595","DOI":"10.1137\/100789786","volume":"33","author":"S Bellavia","year":"2011","unstructured":"Bellavia, S., Bertaccini, D., Morini, B.: Nonsymmetric preconditioner updates in Newton-Krylov methods for nonlinear systems. SIAM J. Sci. Comput. 33(5), 2595\u20132619 (2011)","journal-title":"SIAM J. Sci. Comput."},{"issue":"2","key":"33_CR5","doi-asserted-by":"publisher","first-page":"231","DOI":"10.1023\/A:1026089811044","volume":"43","author":"M Benzi","year":"2003","unstructured":"Benzi, M., Bertaccini, D.: Approximate inverse preconditioning for shifted linear systems. BIT 43(2), 231\u2013244 (2003)","journal-title":"BIT"},{"issue":"5","key":"33_CR6","doi-asserted-by":"publisher","first-page":"A2049","DOI":"10.1137\/15M1025426","volume":"39","author":"M Berljafa","year":"2017","unstructured":"Berljafa, M., G\u00fcttel, S.: The RKFIT algorithm for nonlinear rational approximation. SIAM J. Sci. Comput. 39(5), A2049\u2013A2071 (2017). https:\/\/doi.org\/10.1137\/15M1025426","journal-title":"SIAM J. Sci. Comput."},{"key":"33_CR7","first-page":"49","volume":"18","author":"D Bertaccini","year":"2004","unstructured":"Bertaccini, D.: Efficient preconditioning for sequences of parametric complex symmetric linear systems. Electron. Trans. Numer. Anal. 18, 49\u201364 (2004)","journal-title":"Electron. Trans. Numer. Anal."},{"issue":"4","key":"33_CR8","doi-asserted-by":"publisher","first-page":"1118","DOI":"10.1016\/j.camwa.2016.06.023","volume":"72","author":"D Bertaccini","year":"2016","unstructured":"Bertaccini, D., Durastante, F.: Interpolating preconditioners for the solution of sequence of linear systems. Comput. Math. Appl. 72(4), 1118\u20131130 (2016)","journal-title":"Comput. Math. Appl."},{"key":"33_CR9","doi-asserted-by":"publisher","DOI":"10.1201\/9781315153575","volume-title":"Iterative Methods and Preconditioning for Large and Sparse Linear Systems with Applications","author":"D Bertaccini","year":"2018","unstructured":"Bertaccini, D., Durastante, F.: Iterative Methods and Preconditioning for Large and Sparse Linear Systems with Applications. Chapman & Hall\/CRC Monographs and Research Notes in Mathematics. CRC Press (2018)"},{"key":"33_CR10","doi-asserted-by":"publisher","first-page":"693","DOI":"10.1016\/j.camwa.2015.12.008","volume":"71","author":"D Bertaccini","year":"2016","unstructured":"Bertaccini, D., Filippone, S.: Sparse approximate inverse preconditioners on high performance GPU platforms. Computer e Mathematics with Applications 71, 693\u2013711 (2016)","journal-title":"Computer e Mathematics with Applications"},{"issue":"1","key":"33_CR11","doi-asserted-by":"publisher","first-page":"8","DOI":"10.1002\/gamm.201310002","volume":"36","author":"S G\u00fcttel","year":"2013","unstructured":"G\u00fcttel, S.: Rational Krylov approximation of matrix functions: numerical methods and optimal pole selection. GAMM-Mitt. 36(1), 8\u201331 (2013)","journal-title":"GAMM-Mitt."},{"issue":"3","key":"33_CR12","first-page":"323","volume":"8","author":"M Ilic","year":"2005","unstructured":"Ilic, M., Liu, F., Turner, I., Anh, V.: Numerical approximation of a fractional-in-space diffusion equation. I. Fract. Calc. Appl. Anal. 8(3), 323\u2013341 (2005)","journal-title":"I. Fract. Calc. Appl. Anal."},{"issue":"4","key":"33_CR13","first-page":"333","volume":"9","author":"M Ilic","year":"2006","unstructured":"Ilic, M., Liu, F., Turner, I., Anh, V.: Numerical approximation of a fractional-in-space diffusion equation. II. With nonhomogeneous boundary conditions. Fract. Calc. Appl. Anal. 9(4), 333\u2013349 (2006)","journal-title":"II. With nonhomogeneous boundary conditions. Fract. Calc. Appl. Anal."},{"issue":"1","key":"33_CR14","doi-asserted-by":"publisher","first-page":"45","DOI":"10.1137\/0614004","volume":"14","author":"L Kolotina","year":"1993","unstructured":"Kolotina, L., Yeremin, A.: Factorized sparse approximate inverse precon- ditioning i: Theory. SIAM J. Matrix Anal. Appl. 14(1), 45\u201358 (1993)","journal-title":"SIAM J. Matrix Anal. Appl."},{"key":"33_CR15","doi-asserted-by":"publisher","first-page":"131","DOI":"10.1137\/S0895479896311220","volume":"20","author":"RB Lehoucq","year":"1998","unstructured":"Lehoucq, R.B., Meerbergen, K.: Using generalized Cayley transformations within an inexact rational Krylov sequence method. SIAM J. Matrix Anal. Appl. 20, 131\u2013148 (1998)","journal-title":"SIAM J. Matrix Anal. Appl."}],"container-title":["Lecture Notes in Computational Science and Engineering","Numerical Mathematics and Advanced Applications ENUMATH 2019"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/link.springer.com\/content\/pdf\/10.1007\/978-3-030-55874-1_33","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2022,5,25]],"date-time":"2022-05-25T12:02:54Z","timestamp":1653480174000},"score":1,"resource":{"primary":{"URL":"https:\/\/link.springer.com\/10.1007\/978-3-030-55874-1_33"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2012,2,24]]},"ISBN":["9783030558734","9783030558741"],"references-count":15,"URL":"https:\/\/doi.org\/10.1007\/978-3-030-55874-1_33","relation":{},"ISSN":["1439-7358","2197-7100"],"issn-type":[{"type":"print","value":"1439-7358"},{"type":"electronic","value":"2197-7100"}],"subject":[],"published":{"date-parts":[[2012,2,24]]},"assertion":[{"value":"24 February 2012","order":1,"name":"first_online","label":"First Online","group":{"name":"ChapterHistory","label":"Chapter History"}}]}}