Preface to the Classics Edition Preface Acknowledgments Glossary of Symbols Introduction Part I. Background Material. 1. Sample Problems 2. Linear Algebra 3. Analysis Part II. Nonconstructive Existence Theorems. 4. Gradient Mappings and Minimization 5. Contractions and the Continuation Property 6. The Degree of a Mapping Part III. Iterative Methods. 7. General Iterative Methods 8. Minimization Methods Part IV. Local Convergence. 9. Rates of Convergence-General 10. One-Step Stationary Methods 11. Multistep Methods and Additional One-Step Methods Part V. Semilocal and Global Convergence. 12. Contractions and Nonlinear Majorants 13. Convergence under Partial Ordering 14. Convergence of Minimization Methods An Annotated List of Basic Reference Books Bibliography Author Index Subject Index.
{"title":"Iterative solution of nonlinear equations in several variables","authors":"J. Ortega, W. Rheinboldt","doi":"10.1137/1.9780898719468","DOIUrl":"https://doi.org/10.1137/1.9780898719468","url":null,"abstract":"Preface to the Classics Edition Preface Acknowledgments Glossary of Symbols Introduction Part I. Background Material. 1. Sample Problems 2. Linear Algebra 3. Analysis Part II. Nonconstructive Existence Theorems. 4. Gradient Mappings and Minimization 5. Contractions and the Continuation Property 6. The Degree of a Mapping Part III. Iterative Methods. 7. General Iterative Methods 8. Minimization Methods Part IV. Local Convergence. 9. Rates of Convergence-General 10. One-Step Stationary Methods 11. Multistep Methods and Additional One-Step Methods Part V. Semilocal and Global Convergence. 12. Contractions and Nonlinear Majorants 13. Convergence under Partial Ordering 14. Convergence of Minimization Methods An Annotated List of Basic Reference Books Bibliography Author Index Subject Index.","PeriodicalId":444502,"journal":{"name":"Computer Science and Applied Mathematics","volume":"62 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2014-09-23","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"124928437","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}
Pub Date : 1986-05-01DOI: 10.1007/978-94-015-9934-4
Peter B. Andrews
{"title":"An introduction to mathematical logic and type theory - to truth through proof","authors":"Peter B. Andrews","doi":"10.1007/978-94-015-9934-4","DOIUrl":"https://doi.org/10.1007/978-94-015-9934-4","url":null,"abstract":"","PeriodicalId":444502,"journal":{"name":"Computer Science and Applied Mathematics","volume":"7 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1986-05-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"117023241","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}
Pub Date : 1900-01-01DOI: 10.26661/2786-6254-2023-1-04
K. O. Kirei
{"title":"IMPROVEMENT OF THE BILLING SYSTEM FOR A TELECOMMUNICATION OPERATOR","authors":"K. O. Kirei","doi":"10.26661/2786-6254-2023-1-04","DOIUrl":"https://doi.org/10.26661/2786-6254-2023-1-04","url":null,"abstract":"","PeriodicalId":444502,"journal":{"name":"Computer Science and Applied Mathematics","volume":"26 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1900-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"127262120","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}
Pub Date : 1900-01-01DOI: 10.26661/2786-6254-2022-2-08
S. Homeniuk, V. Kozub
{"title":"ALGORITHM OF PARALLEL CALCULATIONS IN THE FINITE ELEMENT METHOD","authors":"S. Homeniuk, V. Kozub","doi":"10.26661/2786-6254-2022-2-08","DOIUrl":"https://doi.org/10.26661/2786-6254-2022-2-08","url":null,"abstract":"","PeriodicalId":444502,"journal":{"name":"Computer Science and Applied Mathematics","volume":"75 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1900-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"128405990","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}
Pub Date : 1900-01-01DOI: 10.26661/2786-6254-2023-1-06
V. Zaikov, V. Mescheryakov, Y. Zhuravlov, A. Ustenko
A method of increasing the efficiency of thermoelectric system for providing thermal modes of distributed heat-loaded elements of an on-board information system is considered. It is shown that thermoelectric coolers are most susceptible to thermal effects. In accordance with the reliability model, they are connected in series with heat loaded elements and to a great extent determine their operability. The inclusion of thermoelectric coolers in the feedback loop of a thermal management system places increased demands on the dynamic performance of the coolers. However, dynamics and reliability performance are
{"title":"THERMAL MANAGEMENT OF A SET OF THERMOELECTRIC COOLERS CONNECTED IN PARALLEL IN AN UNEVEN TEMPERATURE FIELD","authors":"V. Zaikov, V. Mescheryakov, Y. Zhuravlov, A. Ustenko","doi":"10.26661/2786-6254-2023-1-06","DOIUrl":"https://doi.org/10.26661/2786-6254-2023-1-06","url":null,"abstract":"A method of increasing the efficiency of thermoelectric system for providing thermal modes of distributed heat-loaded elements of an on-board information system is considered. It is shown that thermoelectric coolers are most susceptible to thermal effects. In accordance with the reliability model, they are connected in series with heat loaded elements and to a great extent determine their operability. The inclusion of thermoelectric coolers in the feedback loop of a thermal management system places increased demands on the dynamic performance of the coolers. However, dynamics and reliability performance are","PeriodicalId":444502,"journal":{"name":"Computer Science and Applied Mathematics","volume":"6 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1900-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"130172860","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}
Pub Date : 1900-01-01DOI: 10.26661/2786-6254-2022-2-05
Y. Lymarenko, V. I. Popivshchyi, V. V. Novak, O. Mikhailutsa, I. Skrypnyk
{"title":"COMPARATIVE TESTING OF APPLICATIONS DEVELOPED BASED ON MONOLITHIC AND MICROSERVICES ARCHITECTURES","authors":"Y. Lymarenko, V. I. Popivshchyi, V. V. Novak, O. Mikhailutsa, I. Skrypnyk","doi":"10.26661/2786-6254-2022-2-05","DOIUrl":"https://doi.org/10.26661/2786-6254-2022-2-05","url":null,"abstract":"","PeriodicalId":444502,"journal":{"name":"Computer Science and Applied Mathematics","volume":"44 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1900-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"115832167","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}
Pub Date : 1900-01-01DOI: 10.26661/2413-6549-2022-1-09
D. O. Moskalyk, D. Antoniuk, Tetiana A. Vakaliuk, Ye. V. Ohinskyi, V. V. Kovalevskyi
{"title":"AN OVERVIEW OF USING GRAPH THEORY IN SOFTWARE SYSTEM DEVELOPMENT AND MAINTENANCE","authors":"D. O. Moskalyk, D. Antoniuk, Tetiana A. Vakaliuk, Ye. V. Ohinskyi, V. V. Kovalevskyi","doi":"10.26661/2413-6549-2022-1-09","DOIUrl":"https://doi.org/10.26661/2413-6549-2022-1-09","url":null,"abstract":"","PeriodicalId":444502,"journal":{"name":"Computer Science and Applied Mathematics","volume":"143 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1900-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"127299519","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}
Pub Date : 1900-01-01DOI: 10.26661/2413-6549-2022-1-11
V. E. Bondarenko, M. Karanfilov
{"title":"DECISION-MAKING BY THE GROUP OF EXPERTS REGARDING THE EVALUATION OF PARTICIPANTS OF STATE TENDERS","authors":"V. E. Bondarenko, M. Karanfilov","doi":"10.26661/2413-6549-2022-1-11","DOIUrl":"https://doi.org/10.26661/2413-6549-2022-1-11","url":null,"abstract":"","PeriodicalId":444502,"journal":{"name":"Computer Science and Applied Mathematics","volume":"74 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1900-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"127471896","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}
Pub Date : 1900-01-01DOI: 10.26661/2786-6254-2023-1-01
Yu. O. Hryhoriev, L. Kusik
{"title":"THE PROBLEM OF MINIMIZING DISPERSION","authors":"Yu. O. Hryhoriev, L. Kusik","doi":"10.26661/2786-6254-2023-1-01","DOIUrl":"https://doi.org/10.26661/2786-6254-2023-1-01","url":null,"abstract":"","PeriodicalId":444502,"journal":{"name":"Computer Science and Applied Mathematics","volume":"145 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1900-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"132219161","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}
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