{"title":"Reduced-direction methods with feasible points in nonlinear programming","authors":"V.S. Izhutkin, M.Yu. Kokurin","doi":"10.1016/0041-5553(90)90025-N","DOIUrl":"10.1016/0041-5553(90)90025-N","url":null,"abstract":"<div><p>An approach to the construction of feasible direction type methods of nonlinear programming is proposed. The approach relies on linearization of the active constraints, which reduces the problem of choosing a direction of descent of the objective function inside the feasible region to an unconstrained direction-choosing problem for an auxiliary function in a lower-dimensional space. The approach is developed for problems with inequality constraints and extended to problems with both inequality and equality constraints.</p></div>","PeriodicalId":101271,"journal":{"name":"USSR Computational Mathematics and Mathematical Physics","volume":"30 1","pages":"Pages 159-169"},"PeriodicalIF":0.0,"publicationDate":"1990-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1016/0041-5553(90)90025-N","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"89977655","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"Stability bounds for solutions of some conditionally well-posed problems on a set containing discontinuous functions","authors":"S.L. Logunov","doi":"10.1016/0041-5553(90)90102-X","DOIUrl":"10.1016/0041-5553(90)90102-X","url":null,"abstract":"<div><p>Stability bounds for the solutions of conditionally well-posed problems for the case when the variation and the maximum absolute value of the solutions are bounded by known constants are derived. Differentiation problems, Volterra and Abel integral equations, and convolution equations are considered.</p></div>","PeriodicalId":101271,"journal":{"name":"USSR Computational Mathematics and Mathematical Physics","volume":"30 6","pages":"Pages 1-9"},"PeriodicalIF":0.0,"publicationDate":"1990-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1016/0041-5553(90)90102-X","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"84260114","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"Computation of the maximum guaranteed payoff in dynamic models of conflict situations","authors":"S.A. Yevseyeva","doi":"10.1016/0041-5553(90)90023-L","DOIUrl":"10.1016/0041-5553(90)90023-L","url":null,"abstract":"<div><p>The conflict situations in question are described by repeated two-person bimatrix games. The problem is to determine the maximum guaranteed payoff to the first player. A numerical algorithm computing the solution is constructed and implemented as a program.</p></div>","PeriodicalId":101271,"journal":{"name":"USSR Computational Mathematics and Mathematical Physics","volume":"30 1","pages":"Pages 142-147"},"PeriodicalIF":0.0,"publicationDate":"1990-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1016/0041-5553(90)90023-L","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"88920606","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"The best single-layer brightening coating for a frequency band","authors":"Yu.I. Khudak","doi":"10.1016/0041-5553(90)90036-R","DOIUrl":"10.1016/0041-5553(90)90036-R","url":null,"abstract":"<div><p>The existence of a unique global minimum for the maximum of the power reflection coefficient of a single-layer coating in a specified frequency band is proved.</p></div>","PeriodicalId":101271,"journal":{"name":"USSR Computational Mathematics and Mathematical Physics","volume":"30 1","pages":"Pages 238-240"},"PeriodicalIF":0.0,"publicationDate":"1990-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1016/0041-5553(90)90036-R","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"85834495","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"A numerical method of control optimization in delay systems for immune response modelling","authors":"A.S. Buldayev","doi":"10.1016/0041-5553(90)90157-N","DOIUrl":"10.1016/0041-5553(90)90157-N","url":null,"abstract":"","PeriodicalId":101271,"journal":{"name":"USSR Computational Mathematics and Mathematical Physics","volume":"30 5","pages":"Pages 18-28"},"PeriodicalIF":0.0,"publicationDate":"1990-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1016/0041-5553(90)90157-N","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"75452411","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"The use of local coordinates in optimization problems","authors":"D.V. Denisov","doi":"10.1016/0041-5553(90)90013-I","DOIUrl":"10.1016/0041-5553(90)90013-I","url":null,"abstract":"<div><p>The necessary and sufficient conditions for an extremum are expressed in local coordinates. It is shown that in some cases irregularity of the constraints at the extremum points does not affect the form of the necessary conditions. A first-order numerical method with a linear rate of convergence is considered.</p></div>","PeriodicalId":101271,"journal":{"name":"USSR Computational Mathematics and Mathematical Physics","volume":"30 1","pages":"Pages 107-109"},"PeriodicalIF":0.0,"publicationDate":"1990-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1016/0041-5553(90)90013-I","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"73943076","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"The use of duality to determine the branching order of variables and to estimate the bounds in the solution of the knapsack problem","authors":"A.O. Alekseyev, O.G. Alekseyev, V.D. Kiselev","doi":"10.1016/0041-5553(90)90100-7","DOIUrl":"10.1016/0041-5553(90)90100-7","url":null,"abstract":"","PeriodicalId":101271,"journal":{"name":"USSR Computational Mathematics and Mathematical Physics","volume":"30 2","pages":"Pages 199-200"},"PeriodicalIF":0.0,"publicationDate":"1990-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1016/0041-5553(90)90100-7","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"81670891","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"Optimal regularization of solutions of approximate stochastic systems of linear algebraic equations","authors":"A.I. Zhdanov","doi":"10.1016/0041-5553(90)90180-Z","DOIUrl":"10.1016/0041-5553(90)90180-Z","url":null,"abstract":"","PeriodicalId":101271,"journal":{"name":"USSR Computational Mathematics and Mathematical Physics","volume":"30 5","pages":"Pages 224-229"},"PeriodicalIF":0.0,"publicationDate":"1990-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1016/0041-5553(90)90180-Z","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"82663796","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"On an initial-boundary value problem which arises in the dynamics of a compressible stratified fluid","authors":"S.A. Gabov, A.T. Sundukova","doi":"10.1016/0041-5553(90)90080-C","DOIUrl":"10.1016/0041-5553(90)90080-C","url":null,"abstract":"<div><p>An initial-boundary value problem is considered which describes the linear vibrations of a compressible stratified fluid with a free surface in a bounded vessel. A generalized system of equations is considered for which a theorem concerned with the existence and uniqueness of the solution is proved.</p></div>","PeriodicalId":101271,"journal":{"name":"USSR Computational Mathematics and Mathematical Physics","volume":"30 2","pages":"Pages 79-85"},"PeriodicalIF":0.0,"publicationDate":"1990-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1016/0041-5553(90)90080-C","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"79611262","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}