{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,2,21]],"date-time":"2025-02-21T07:42:15Z","timestamp":1740123735102,"version":"3.37.3"},"reference-count":11,"publisher":"Springer Science and Business Media LLC","issue":"2","license":[{"start":{"date-parts":[[2020,8,1]],"date-time":"2020-08-01T00:00:00Z","timestamp":1596240000000},"content-version":"tdm","delay-in-days":0,"URL":"https:\/\/www.springer.com\/tdm"},{"start":{"date-parts":[[2020,8,1]],"date-time":"2020-08-01T00:00:00Z","timestamp":1596240000000},"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":["Numer Algor"],"published-print":{"date-parts":[[2021,6]]},"DOI":"10.1007\/s11075-020-00982-x","type":"journal-article","created":{"date-parts":[[2020,8,1]],"date-time":"2020-08-01T09:24:55Z","timestamp":1596273895000},"page":"651-665","update-policy":"https:\/\/doi.org\/10.1007\/springer_crossmark_policy","source":"Crossref","is-referenced-by-count":2,"title":["Fast and improved scaled HSS preconditioner for steady-state space-fractional diffusion equations"],"prefix":"10.1007","volume":"87","author":[{"ORCID":"https:\/\/orcid.org\/0000-0002-6894-5428","authenticated-orcid":false,"given":"Fang","family":"Chen","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Tian-Yi","family":"Li","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"297","published-online":{"date-parts":[[2020,8,1]]},"reference":[{"issue":"e2157","key":"982_CR1","first-page":"1","volume":"25","author":"Z-Z Bai","year":"2018","unstructured":"Bai, Z.-Z.: Respectively scaled HSS iteration methods for solving discretized spatial fractional diffusion equations. Numerical Linear Algebra with Applications 25(e2157), 1\u201318 (2018)","journal-title":"Numerical Linear Algebra with Applications"},{"key":"982_CR2","doi-asserted-by":"publisher","first-page":"1339","DOI":"10.1007\/s11425-008-0106-z","volume":"51","author":"Z-Z Bai","year":"2008","unstructured":"Bai, Z.-Z.: Several splittings for non-Hermitian linear systems. Science in China Series A: Mathematics 51, 1339\u20131348 (2008)","journal-title":"Science in China Series A: Mathematics"},{"key":"982_CR3","doi-asserted-by":"publisher","first-page":"195","DOI":"10.1016\/S0377-0427(02)00822-1","volume":"154","author":"Z-Z Bai","year":"2003","unstructured":"Bai, Z.-Z.: On the convergence of additive and multiplicative splitting iterations for systems of linear equations. Journal of Computational and Applied Mathematics 154, 195\u2013214 (2003)","journal-title":"Journal of Computational and Applied Mathematics"},{"key":"982_CR4","doi-asserted-by":"publisher","first-page":"603","DOI":"10.1137\/S0895479801395458","volume":"24","author":"Z-Z Bai","year":"2003","unstructured":"Bai, Z.-Z., Golub, G.H., Ng, M.K.: Hermitian and skew-Hermitian splitting methods for non-Hermitian positive definite linear systems. SIAM Journal on Matrix Analysis and Applications 24, 603\u2013626 (2003)","journal-title":"SIAM Journal on Matrix Analysis and Applications"},{"issue":"e2093","key":"982_CR5","first-page":"1","volume":"24","author":"Z-Z Bai","year":"2017","unstructured":"Bai, Z.-Z., Lu, K.-Y., Pan, J.-Y.: Diagonal and Toeplitz splitting iteration methods for diagonal-plus-Toeplitz linear systems from spatial fractional diffusion equations. Numerical Linear Algebra with Applications 24 (e2093), 1\u201315 (2017)","journal-title":"Numerical Linear Algebra with Applications"},{"key":"982_CR6","doi-asserted-by":"publisher","first-page":"767","DOI":"10.1137\/0613048","volume":"13","author":"TK Huckle","year":"1992","unstructured":"Huckle, T.K.: Circulant and skewcirculant matrices for solving Toeplitz matrix problems. SIAM Journal on Matrix Analysis and Applications 13, 767\u2013777 (1992)","journal-title":"SIAM Journal on Matrix Analysis and Applications"},{"issue":"106068","key":"982_CR7","doi-asserted-by":"publisher","first-page":"1","DOI":"10.1016\/j.aml.2019.106068","volume":"101","author":"K-Y Lu","year":"2020","unstructured":"Lu, K.-Y., Miao, C.-Q.: Fast modified scaled HSS preconditioner for steady-state space-fractional diffusion equations. Applied Mathenatics Letters 101 (106068), 1\u20136 (2020). https:\/\/doi.org\/10.1016\/j.aml.2019.106068","journal-title":"Applied Mathenatics Letters"},{"key":"982_CR8","doi-asserted-by":"publisher","first-page":"A2698","DOI":"10.1137\/130931795","volume":"36","author":"J-Y Pan","year":"2014","unstructured":"Pan, J.-Y., Ke, R.-H., Ng, M.K., Sun, H.-W.: Preconditioning techniques for diagonal-times-Toeplitz matrices in fractional diffusion equations. SIAM Journal on Scientific Computing 36, A2698\u2013A2719 (2014)","journal-title":"SIAM Journal on Scientific Computing"},{"key":"982_CR9","volume-title":"Fractional Differential Equations (Mathematics in Science and Engineering)","author":"I Podlubny","year":"1999","unstructured":"Podlubny, I.: Fractional Differential Equations (Mathematics in Science and Engineering). Academic Press, San Diego (1999)"},{"key":"982_CR10","volume-title":"Fractional Integrals and Derivatives: Theory and Applications","author":"SG Samko","year":"1993","unstructured":"Samko, S.G., Kilbas, A.A., Marichev, O.I.: Fractional Integrals and Derivatives: Theory and Applications. Gordon and Breach Science Publishers, Yverdon (1993)"},{"key":"982_CR11","doi-asserted-by":"publisher","first-page":"171","DOI":"10.1002\/sapm1986742171","volume":"74","author":"G Strang","year":"1986","unstructured":"Strang, G.: A proposal for Toeplitz matrix calculations. Studies in Applied Mathematics 74, 171\u2013176 (1986)","journal-title":"Studies in Applied Mathematics"}],"container-title":["Numerical Algorithms"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/link.springer.com\/content\/pdf\/10.1007\/s11075-020-00982-x.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/link.springer.com\/article\/10.1007\/s11075-020-00982-x\/fulltext.html","content-type":"text\/html","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/link.springer.com\/content\/pdf\/10.1007\/s11075-020-00982-x.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2021,8,1]],"date-time":"2021-08-01T00:09:34Z","timestamp":1627776574000},"score":1,"resource":{"primary":{"URL":"https:\/\/link.springer.com\/10.1007\/s11075-020-00982-x"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2020,8,1]]},"references-count":11,"journal-issue":{"issue":"2","published-print":{"date-parts":[[2021,6]]}},"alternative-id":["982"],"URL":"https:\/\/doi.org\/10.1007\/s11075-020-00982-x","relation":{},"ISSN":["1017-1398","1572-9265"],"issn-type":[{"type":"print","value":"1017-1398"},{"type":"electronic","value":"1572-9265"}],"subject":[],"published":{"date-parts":[[2020,8,1]]},"assertion":[{"value":"25 April 2020","order":1,"name":"received","label":"Received","group":{"name":"ArticleHistory","label":"Article History"}},{"value":"7 July 2020","order":2,"name":"accepted","label":"Accepted","group":{"name":"ArticleHistory","label":"Article History"}},{"value":"1 August 2020","order":3,"name":"first_online","label":"First Online","group":{"name":"ArticleHistory","label":"Article History"}}]}}