{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,3,25]],"date-time":"2025-03-25T14:05:01Z","timestamp":1742911501111,"version":"3.40.3"},"publisher-location":"Berlin, Heidelberg","reference-count":10,"publisher":"Springer Berlin Heidelberg","isbn-type":[{"type":"print","value":"9783642004636"},{"type":"electronic","value":"9783642004643"}],"license":[{"start":{"date-parts":[[2009,1,1]],"date-time":"2009-01-01T00:00:00Z","timestamp":1230768000000},"content-version":"unspecified","delay-in-days":0,"URL":"http:\/\/www.springer.com\/tdm"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":[],"published-print":{"date-parts":[[2009]]},"DOI":"10.1007\/978-3-642-00464-3_7","type":"book-chapter","created":{"date-parts":[[2009,2,7]],"date-time":"2009-02-07T02:26:05Z","timestamp":1233973565000},"page":"68-79","source":"Crossref","is-referenced-by-count":0,"title":["Perturbation Bounds for Certain Matrix Expressions and Numerical Solution of Matrix Equations"],"prefix":"10.1007","author":[{"given":"M. M.","family":"Konstantinov","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"P. Hr.","family":"Petkov","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"N. D.","family":"Christov","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"297","reference":[{"key":"7_CR1","unstructured":"Grebenikov, E., Ryabov, Y.: Constructive Methods for Analysis of Nonlinear Systems. Nauka, Moscow (1979) (in Russian)"},{"key":"7_CR2","doi-asserted-by":"publisher","first-page":"28","DOI":"10.1109\/MCS.2004.1272744","volume":"24","author":"N. Higham","year":"2004","unstructured":"Higham, N., Konstantinov, M., Mehrmann, V., Petkov, P.: The Sensitivity of Computational Control Problems. IEEE Control Syst. Magazine\u00a024, 28\u201343 (2004)","journal-title":"IEEE Control Syst. Magazine"},{"key":"7_CR3","volume-title":"Perturbation Theory for Matrix Equations","author":"M. Konstantinov","year":"2003","unstructured":"Konstantinov, M., Gu, D., Mehrmann, V., Petkov, P.: Perturbation Theory for Matrix Equations. Elsevier, Amsterdam (2003)"},{"key":"7_CR4","doi-asserted-by":"crossref","unstructured":"Konstantinov, M., Petkov, P.: Note on Perturbation theory for algebaic Riccati equations (SIAM J. Matrix Anal. Appl.\u00a019, 39\u201365, by J.G. Sun (1998)). SIAM J. Matrix Anal. Appl. 21, 327 (1999)","DOI":"10.1137\/S0895479895291303"},{"key":"7_CR5","doi-asserted-by":"publisher","first-page":"717","DOI":"10.1080\/01630569908816920","volume":"20","author":"M. Konstantinov","year":"1999","unstructured":"Konstantinov, M., Petkov, P., Gu, D.: Improved Perturbation Bounds for General Quadratic Matrix Equations. Numer. Funct. Anal. Opim.\u00a020, 717\u2013736 (1999)","journal-title":"Numer. Funct. Anal. Opim."},{"key":"7_CR6","doi-asserted-by":"publisher","first-page":"7","DOI":"10.1016\/S0024-3795(98)10094-0","volume":"285","author":"M. Konstantinov","year":"1998","unstructured":"Konstantinov, M., Stanislavova, M., Petkov, P.: Perturbation Bounds and Characterisation of the Solution of the Associated Algebraic Riccati Equation. Linear Algebra Appl.\u00a0285, 7\u201331 (1998)","journal-title":"Linear Algebra Appl."},{"key":"7_CR7","unstructured":"Lika, D., Ryabov, Y.: Iterative Methods and Lyapunov Majorant Equations in Non\u2013Linear Osillation Theory. Shtiinca, Kishinev (in Russian) (1974)"},{"key":"7_CR8","volume-title":"Computational Methods for Linear Control Problems","author":"P. Petkov","year":"1991","unstructured":"Petkov, P., Christov, N., Konstantinov, M.: Computational Methods for Linear Control Problems. Prentice Hall, Hemel Hempstead (1991)"},{"key":"7_CR9","volume-title":"Matrix Perturbation Theory","author":"S. Stewart","year":"1990","unstructured":"Stewart, S., Sun, J.: Matrix Perturbation Theory. Academic Press, New York (1990)"},{"key":"7_CR10","doi-asserted-by":"publisher","first-page":"39","DOI":"10.1137\/S0895479895291303","volume":"19","author":"J. Sun","year":"1998","unstructured":"Sun, J.: Perturbation Theory for Algebraic Riccati Equations. SIAM J. Matrix Anal. Appl.\u00a019, 39\u201365 (1998)","journal-title":"SIAM J. Matrix Anal. Appl."}],"container-title":["Lecture Notes in Computer Science","Numerical Analysis and Its Applications"],"original-title":[],"language":"en","link":[{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/978-3-642-00464-3_7","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2019,5,19]],"date-time":"2019-05-19T12:05:40Z","timestamp":1558267540000},"score":1,"resource":{"primary":{"URL":"http:\/\/link.springer.com\/10.1007\/978-3-642-00464-3_7"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2009]]},"ISBN":["9783642004636","9783642004643"],"references-count":10,"URL":"https:\/\/doi.org\/10.1007\/978-3-642-00464-3_7","relation":{},"ISSN":["0302-9743","1611-3349"],"issn-type":[{"type":"print","value":"0302-9743"},{"type":"electronic","value":"1611-3349"}],"subject":[],"published":{"date-parts":[[2009]]}}}