{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,10,21]],"date-time":"2025-10-21T15:36:40Z","timestamp":1761061000129,"version":"3.37.3"},"reference-count":27,"publisher":"Springer Science and Business Media LLC","issue":"2","license":[{"start":{"date-parts":[[2020,3,7]],"date-time":"2020-03-07T00:00:00Z","timestamp":1583539200000},"content-version":"tdm","delay-in-days":0,"URL":"http:\/\/www.springer.com\/tdm"},{"start":{"date-parts":[[2020,3,7]],"date-time":"2020-03-07T00:00:00Z","timestamp":1583539200000},"content-version":"vor","delay-in-days":0,"URL":"http:\/\/www.springer.com\/tdm"}],"funder":[{"DOI":"10.13039\/501100002923","name":"CONICET","doi-asserted-by":"crossref","award":["PIP 0435\/10"],"award-info":[{"award-number":["PIP 0435\/10"]}],"id":[{"id":"10.13039\/501100002923","id-type":"DOI","asserted-by":"crossref"}]},{"DOI":"10.13039\/501100003947","name":"UNLP","doi-asserted-by":"crossref","award":["11X681"],"award-info":[{"award-number":["11X681"]}],"id":[{"id":"10.13039\/501100003947","id-type":"DOI","asserted-by":"crossref"}]}],"content-domain":{"domain":["link.springer.com"],"crossmark-restriction":false},"short-container-title":["Adv Comput Math"],"published-print":{"date-parts":[[2020,4]]},"DOI":"10.1007\/s10444-020-09762-6","type":"journal-article","created":{"date-parts":[[2020,3,7]],"date-time":"2020-03-07T09:02:57Z","timestamp":1583571777000},"update-policy":"https:\/\/doi.org\/10.1007\/springer_crossmark_policy","source":"Crossref","is-referenced-by-count":4,"title":["Optimal frame designs for multitasking devices with weight restrictions"],"prefix":"10.1007","volume":"46","author":[{"given":"Mar\u00eda J.","family":"Benac","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Pedro","family":"Massey","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Mariano","family":"Ruiz","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Demetrio","family":"Stojanoff","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"297","published-online":{"date-parts":[[2020,3,7]]},"reference":[{"key":"9762_CR1","doi-asserted-by":"publisher","first-page":"537","DOI":"10.1215\/ijm\/1258138428","volume":"51","author":"J Antezana","year":"2007","unstructured":"Antezana, J., Massey, P., Ruiz, M., Stojanoff, D.: The Schur-Horn theorem for operators and frames with prescribed norms and frame operator. Illinois J. Math. 51, 537\u2013560 (2007)","journal-title":"Illinois J. Math."},{"issue":"2","key":"9762_CR2","doi-asserted-by":"publisher","first-page":"401","DOI":"10.1007\/s00041-016-9474-x","volume":"23","author":"MJ Benac","year":"2017","unstructured":"Benac, M.J., Massey, P., Stojanoff, D.: Convex potentials and optimal shift generated oblique duals in shift invariant spaces. J. Fourier Anal. Appl. 23(2), 401\u2013441 (2017)","journal-title":"J. Fourier Anal. Appl."},{"issue":"9","key":"9762_CR3","doi-asserted-by":"publisher","first-page":"2631","DOI":"10.1016\/j.jfa.2016.07.007","volume":"271","author":"MJ Benac","year":"2016","unstructured":"Benac, M.J., Massey, P., Stojanoff, D.: Frames of translates with prescribed fine structure in shift invariant spaces. J. Funct. Anal. 271(9), 2631\u20132671 (2016)","journal-title":"J. Funct. Anal."},{"issue":"2-4","key":"9762_CR4","doi-asserted-by":"publisher","first-page":"357","DOI":"10.1023\/A:1021323312367","volume":"18","author":"JJ Benedetto","year":"2003","unstructured":"Benedetto, J.J., Fickus, M.: Finite normalized tight frames. Frames. Adv. Comput. Math. 18(2-4), 357\u2013385 (2003)","journal-title":"Frames. Adv. Comput. Math."},{"key":"9762_CR5","doi-asserted-by":"publisher","DOI":"10.1007\/978-1-4612-0653-8","volume-title":"Matrix Analysis","author":"R Bhatia","year":"1997","unstructured":"Bhatia, R.: Matrix Analysis. Springer, Berlin (1997)"},{"key":"9762_CR6","doi-asserted-by":"publisher","first-page":"118","DOI":"10.1016\/j.laa.2005.02.016","volume":"404","author":"BG Bodmann","year":"2005","unstructured":"Bodmann, B.G., Paulsen, V.I.: Frames, graphs and erasures. Linear Algebra Appl. 404, 118\u2013146 (2005)","journal-title":"Linear Algebra Appl."},{"issue":"2","key":"9762_CR7","doi-asserted-by":"publisher","first-page":"129","DOI":"10.11650\/twjm\/1500407227","volume":"4","author":"PG Casazza","year":"2000","unstructured":"Casazza, P.G.: The art of frame theory. Taiwanese J. Math. 4(2), 129\u2013201 (2000)","journal-title":"Taiwanese J. Math."},{"key":"9762_CR8","doi-asserted-by":"crossref","unstructured":"Casazza, P.G.: Custom building finite frames. In: Wavelets, Frames and Operator Theory, Volume 345 of Contemp, pp 61\u201386. Math., Amer. Math. Soc., Providence (2004)","DOI":"10.1090\/conm\/345\/06241"},{"key":"9762_CR9","first-page":"51","volume-title":"A Physical Interpretation of Tight Frames. Harmonic Analysis and Applications. Appl. Numer. Harmon. Anal.","author":"PG Casazza","year":"2006","unstructured":"Casazza, P.G., Fickus, M., Kovacevic, J., Leon, M.T., Tremain, J.C.: A Physical Interpretation of Tight Frames. Harmonic Analysis and Applications. Appl. Numer. Harmon. Anal., pp 51\u201376. Birkh\u00e4user, Boston (2006)"},{"key":"9762_CR10","doi-asserted-by":"publisher","first-page":"52","DOI":"10.1016\/j.acha.2012.08.001","volume":"35","author":"J Cahill","year":"2013","unstructured":"Cahill, J., Fickus, M., Mixon, D.G., Poteet, M.J., Strawn, N.: Constructing finite frames of a given spectrum and set of lengths. Appl. Comput. Harmon. Anal. 35, 52\u201373 (2013)","journal-title":"Appl. Comput. Harmon. Anal."},{"issue":"2","key":"9762_CR11","first-page":"149","volume":"63","author":"PG Casazza","year":"2010","unstructured":"Casazza, P.G., Leon, M.T.: Existence and construction of finite frames with a given frame operator. Int. J. Pure Appl. Math. 63(2), 149\u2013157 (2010)","journal-title":"Int. J. Pure Appl. Math."},{"key":"9762_CR12","doi-asserted-by":"crossref","unstructured":"Casazza, P.G., Kutyniok, G. (eds.): Finite Frames: Theory and Applications. Birkhauser, Boston (2012). xii +\u2009483 pp","DOI":"10.1007\/978-0-8176-8373-3"},{"key":"9762_CR13","volume-title":"An Introduction to Frames and Riesz Bases. Applied and Numerical Harmonic Analysis","author":"O Christensen","year":"2003","unstructured":"Christensen, O.: An Introduction to Frames and Riesz Bases. Applied and Numerical Harmonic Analysis. Birkh\u00e4user, Boston (2003). xxii+\u2009440 pp"},{"issue":"1","key":"9762_CR14","doi-asserted-by":"publisher","first-page":"61","DOI":"10.1137\/S0895479803438183","volume":"27","author":"IS Dhillon","year":"2005","unstructured":"Dhillon, I.S., Heath, R.W. Jr., Sustik, M.A., Tropp, J.A.: Generalized finite algorithms for constructing Hermitian matrices with prescribed diagonal and spectrum. SIAM J. Matrix Anal. Appl. 27(1), 61\u201371 (2005)","journal-title":"SIAM J. Matrix Anal. Appl."},{"key":"9762_CR15","doi-asserted-by":"publisher","first-page":"477","DOI":"10.1215\/ijm\/1258138393","volume":"48","author":"K Dykema","year":"2004","unstructured":"Dykema, K., Freeman, D., Kornelson, K., Larson, D., Ordower, M., Weber, E.: Ellipsoidal tight frames and projection decomposition of operators. Illinois J. Math. 48, 477\u2013489 (2004)","journal-title":"Illinois J. Math."},{"key":"9762_CR16","doi-asserted-by":"publisher","first-page":"297","DOI":"10.1007\/s10444-004-7637-9","volume":"24","author":"DJ Feng","year":"2006","unstructured":"Feng, D.J., Wang, L., Wang, Y.: Generation of finite tight frames by Householder transformations. Adv. Comput. Math. 24, 297\u2013309 (2006)","journal-title":"Adv. Comput. Math."},{"issue":"3","key":"9762_CR17","doi-asserted-by":"publisher","first-page":"505","DOI":"10.1016\/j.acha.2015.03.004","volume":"40","author":"M Fickus","year":"2016","unstructured":"Fickus, M., Marks, J., Poteet, M.: A generalized Schur-Horn theorem and optimal frame completions. Appl. Comput. Harmon. Anal. 40(3), 505\u2013528 (2016)","journal-title":"Appl. Comput. Harmon. Anal."},{"key":"9762_CR18","doi-asserted-by":"crossref","unstructured":"Fickus, M., Mixon, D.G., Poteet, M.J.: Frame completions for optimally robust reconstruction. In: Proceedings of SPIE 8138: 81380Q\/1-8 (2011)","DOI":"10.1117\/12.891813"},{"issue":"7","key":"9762_CR19","doi-asserted-by":"publisher","first-page":"1333","DOI":"10.1109\/JSAC.2007.070907","volume":"25","author":"B Hassibi","year":"2007","unstructured":"Hassibi, B., Sharif, M.: Fundamental limits in MIMO broadcast channels. IEEE J. Selected Areas Commun. 25(7), 1333\u20131344 (2007)","journal-title":"IEEE J. Selected Areas Commun."},{"key":"9762_CR20","doi-asserted-by":"publisher","first-page":"31","DOI":"10.1016\/j.laa.2003.07.012","volume":"377","author":"RB Holmes","year":"2004","unstructured":"Holmes, R.B., Paulsen, V.I.: Optimal frames for erasures. Linear Algebra Appl. 377, 31\u201351 (2004)","journal-title":"Linear Algebra Appl."},{"key":"9762_CR21","first-page":"203","volume-title":"Rank-One Decomposition of Operators and Construction of Frames. Wavelets, Frames and Operator Theory, Contemp. Math., vol. 345","author":"KA Kornelson","year":"2004","unstructured":"Kornelson, K.A., Larson, D.R.: Rank-One Decomposition of Operators and Construction of Frames. Wavelets, Frames and Operator Theory, Contemp. Math., vol. 345, pp 203\u2013214. Amer. Math. Soc., Providence (2004)"},{"key":"9762_CR22","unstructured":"Massey, P., Rios, N., Stojanoff, D.: Frame completions with prescribed norms: Local minimizers and applications. Adv. Comput. Math. (in press)"},{"issue":"1","key":"9762_CR23","doi-asserted-by":"crossref","first-page":"1","DOI":"10.1007\/BF03549481","volume":"7","author":"P Massey","year":"2008","unstructured":"Massey, P., Ruiz, M.A.: Tight frame completions with prescribed norms. Sampl. Theory Signal Image Process. 7(1), 1\u201313 (2008)","journal-title":"Sampl. Theory Signal Image Process."},{"issue":"2","key":"9762_CR24","doi-asserted-by":"publisher","first-page":"131","DOI":"10.1007\/s10444-008-9092-5","volume":"32","author":"P Massey","year":"2010","unstructured":"Massey, P., Ruiz, M.: Minimization of convex functionals over frame operators. Adv. Comput. Math. 32(2), 131\u2013153 (2010)","journal-title":"Adv. Comput. Math."},{"issue":"2","key":"9762_CR25","doi-asserted-by":"publisher","first-page":"201","DOI":"10.1016\/j.acha.2012.03.011","volume":"34","author":"P Massey","year":"2013","unstructured":"Massey, P., Ruiz, M., Stojanoff, D.: Optimal dual frames and frame completions for majorization. Appl. Comput Harmon. Anal. 34(2), 201\u2013223 (2013)","journal-title":"Appl. Comput Harmon. Anal."},{"key":"9762_CR26","doi-asserted-by":"publisher","first-page":"1011","DOI":"10.1007\/s10444-013-9339-7","volume":"40","author":"PG Massey","year":"2014","unstructured":"Massey, P.G., Ruiz, M.A., Stojanoff, D.: Optimal frame completions. Adv. Comput. Math. 40, 1011\u20131042 (2014)","journal-title":"Adv. Comput. Math."},{"issue":"5","key":"9762_CR27","doi-asserted-by":"publisher","first-page":"1111","DOI":"10.1007\/s00041-014-9347-0","volume":"20","author":"P Massey","year":"2014","unstructured":"Massey, P., Ruiz, M., Stojanoff, D.: Optimal frame completions with prescribed norms for majorization. J. Fourier Anal. Appl. 20(5), 1111\u20131140 (2014)","journal-title":"J. Fourier Anal. Appl."}],"container-title":["Advances in Computational Mathematics"],"original-title":[],"language":"en","link":[{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/s10444-020-09762-6.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/article\/10.1007\/s10444-020-09762-6\/fulltext.html","content-type":"text\/html","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/s10444-020-09762-6.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2022,10,17]],"date-time":"2022-10-17T22:45:35Z","timestamp":1666046735000},"score":1,"resource":{"primary":{"URL":"http:\/\/link.springer.com\/10.1007\/s10444-020-09762-6"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2020,3,7]]},"references-count":27,"journal-issue":{"issue":"2","published-print":{"date-parts":[[2020,4]]}},"alternative-id":["9762"],"URL":"https:\/\/doi.org\/10.1007\/s10444-020-09762-6","relation":{},"ISSN":["1019-7168","1572-9044"],"issn-type":[{"type":"print","value":"1019-7168"},{"type":"electronic","value":"1572-9044"}],"subject":[],"published":{"date-parts":[[2020,3,7]]},"assertion":[{"value":"3 April 2018","order":1,"name":"received","label":"Received","group":{"name":"ArticleHistory","label":"Article History"}},{"value":"17 January 2020","order":2,"name":"accepted","label":"Accepted","group":{"name":"ArticleHistory","label":"Article History"}},{"value":"7 March 2020","order":3,"name":"first_online","label":"First Online","group":{"name":"ArticleHistory","label":"Article History"}}],"article-number":"22"}}