{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,4,10]],"date-time":"2026-04-10T09:46:38Z","timestamp":1775814398432,"version":"3.50.1"},"reference-count":14,"publisher":"Springer Science and Business Media LLC","issue":"4","license":[{"start":{"date-parts":[[1991,12,1]],"date-time":"1991-12-01T00:00:00Z","timestamp":691545600000},"content-version":"tdm","delay-in-days":0,"URL":"http:\/\/www.springer.com\/tdm"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Computing"],"published-print":{"date-parts":[[1991,12]]},"DOI":"10.1007\/bf02257775","type":"journal-article","created":{"date-parts":[[2005,11,22]],"date-time":"2005-11-22T19:01:28Z","timestamp":1132686088000},"page":"295-305","source":"Crossref","is-referenced-by-count":7,"title":["On the computation of a matrix inverse square root","Zur Berechnung der inversen Quadratwurzel einer Matrix"],"prefix":"10.1007","volume":"46","author":[{"given":"Nagwa","family":"Sherif","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"297","reference":[{"key":"BF02257775_CR1","doi-asserted-by":"crossref","first-page":"820","DOI":"10.1145\/361573.361582","volume":"15","author":"R. H. Bartles","year":"1972","unstructured":"Bartles, R. H., Stewart, G. W.: Solution of the matrix equationAX+XB=C. Comm. ACM15, 820 (1972).","journal-title":"ACM"},{"key":"BF02257775_CR2","doi-asserted-by":"crossref","first-page":"127","DOI":"10.1016\/0024-3795(83)80010-X","volume":"25\/53","author":"A. Bjorck","year":"1983","unstructured":"Bjorck, A., Hammarling, S.: A schur method for the square root of a matrix. Linear Algebra Appl.25\/53, 127 (1983).","journal-title":"Linear Algebra Appl."},{"key":"BF02257775_CR3","doi-asserted-by":"crossref","first-page":"133","DOI":"10.1016\/0024-3795(81)90226-3","volume":"36","author":"E. D. Denman","year":"1981","unstructured":"Denman, E. D.: Roots of real matrices. Linear Algebra Appl.36, 133 (1981).","journal-title":"Linear Algebra Appl."},{"key":"BF02257775_CR4","first-page":"239","volume-title":"The theory of matrices","author":"F. R. Gantmacher","year":"1959","unstructured":"Gantmacher, F. R.: The theory of matrices,1, p. 239. New York: Chelsea 1959."},{"key":"BF02257775_CR5","doi-asserted-by":"crossref","first-page":"909","DOI":"10.1109\/TAC.1979.1102170","volume":"24","author":"G. H. Golub","year":"1979","unstructured":"Golub, G. H., Nash, S., Vanloan, C. F.: A Hessenberg schur method for the problemAX+XB=C. IEEE Trans. Automat. Control.,AC, 24, 909 (1979).","journal-title":"IEEE Trans. Automat. Control."},{"key":"BF02257775_CR6","volume-title":"A collection of matrices for testing computational algorithms","author":"R. T. Gregory","year":"1969","unstructured":"Gregory, R. T., Karney, D. L.: A collection of matrices for testing computational algorithms. New York: Wiley 1969."},{"key":"BF02257775_CR7","first-page":"537","volume":"46","author":"N. J. Higham","year":"1986","unstructured":"Higham, N. J.: Newton's method for matrix square root. Math. Comp.46, 537 (1986).","journal-title":"Math. Comp."},{"key":"BF02257775_CR8","doi-asserted-by":"crossref","first-page":"405","DOI":"10.1016\/0024-3795(87)90118-2","volume":"88\/89","author":"N. J. Higham","year":"1987","unstructured":"Higham, N. J.: Computing real square roots of a real matrix. Linear Algebra Appl.88\/89, 405 (1987).","journal-title":"Linear Algebra Appl."},{"key":"BF02257775_CR9","doi-asserted-by":"crossref","first-page":"111","DOI":"10.1090\/S0002-9939-1955-0067841-7","volume":"6","author":"KyFan","year":"1955","unstructured":"KyFan, Hoffman, A. J.: Some metric inequalities in the space of matrices. Proc. Amer. Math. Soc.6, 111 (1955).","journal-title":"Proc. Amer. Math. Soc."},{"key":"BF02257775_CR10","first-page":"262","volume-title":"Theory of matrices","author":"P. Lancaster","year":"1969","unstructured":"Lancaster, P.: Theory of matrices, p. 262. New York: Academic Press, 1969."},{"key":"BF02257775_CR11","first-page":"148","volume-title":"Numerical analysis, a second course","author":"J. M. Ortega","year":"1972","unstructured":"Ortega, J. M.: Numerical analysis, a second course, p. 148. New York: Academic Press, 1972."},{"issue":"3","key":"BF02257775_CR12","doi-asserted-by":"crossref","first-page":"396","DOI":"10.1137\/0608032","volume":"8","author":"B. Philippe","year":"1987","unstructured":"Philippe, B.: An algorithm to improve nearly orthonormal set of vectors on a vector processor. SIAM J. Alg. Disc. Meth.8(3), 396 (1987).","journal-title":"SIAM J. Alg. Disc. Meth."},{"key":"BF02257775_CR13","first-page":"188","volume-title":"Introduction to matrix computation","author":"G. W. Stewart","year":"1974","unstructured":"Stewart, G. W.: Introduction to matrix computation, p. 188. New York: Academic Press, 1974."},{"key":"BF02257775_CR14","doi-asserted-by":"crossref","first-page":"205","DOI":"10.1016\/0024-3795(86)90223-5","volume":"76","author":"Y. T. Tsay","year":"1986","unstructured":"Tsay, Y. T., Sheigh, L. S., Tsai, J. S. H.: A fast method for computing thenth roots of complex matrices. Linear Algebra Appl.76, 205 (1986).","journal-title":"Linear Algebra Appl."}],"container-title":["Computing"],"original-title":[],"language":"en","link":[{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/BF02257775.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/article\/10.1007\/BF02257775\/fulltext.html","content-type":"text\/html","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/BF02257775","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2019,5,16]],"date-time":"2019-05-16T15:01:48Z","timestamp":1558018908000},"score":1,"resource":{"primary":{"URL":"http:\/\/link.springer.com\/10.1007\/BF02257775"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[1991,12]]},"references-count":14,"journal-issue":{"issue":"4","published-print":{"date-parts":[[1991,12]]}},"alternative-id":["BF02257775"],"URL":"https:\/\/doi.org\/10.1007\/bf02257775","relation":{},"ISSN":["0010-485X","1436-5057"],"issn-type":[{"value":"0010-485X","type":"print"},{"value":"1436-5057","type":"electronic"}],"subject":[],"published":{"date-parts":[[1991,12]]}}}