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Interval analysis : and automatic result verification / / Günter Mayer
Interval analysis : and automatic result verification / / Günter Mayer
Autore Mayer Günter
Pubbl/distr/stampa Berlin, [Germany] ; ; Boston, [Massachusetts] : , : De Gruyter, , 2017
Descrizione fisica 1 online resource (518 pages)
Disciplina 511.42
Collana De Gruyter Studies in Mathematics
Soggetto topico Interval analysis (Mathematics)
Soggetto genere / forma Electronic books.
ISBN 3-11-049805-7
3-11-049946-0
Formato Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione eng
Nota di contenuto Frontmatter -- Preface -- Contents -- 1. Preliminaries -- 2. Real intervals -- 3. Interval vectors, interval matrices -- 4. Expressions, P-contraction, ε-inflation -- 5. Linear systems of equations -- 6. Nonlinear systems of equations -- 7. Eigenvalue problems and related ones -- 8. Automatic differentiation -- 9. Complex intervals -- Final Remarks -- Appendix -- A. Proof of the Jordan normal form -- B. Two elementary proofs of Brouwer's fixed point theorem -- C. Proof of the Newton-Kantorovich Theorem -- D. Convergence proof of the row cyclic Jacobi method -- E. The CORDIC algorithm -- F. The symmetric solution set - a proof of Theorem 5.2.6 -- G. A short introduction to INTLAB -- Bibliography -- Symbol Index -- Author Index -- Subject Index
Record Nr. UNINA-9910466001203321
Mayer Günter  
Berlin, [Germany] ; ; Boston, [Massachusetts] : , : De Gruyter, , 2017
Materiale a stampa
Lo trovi qui: Univ. Federico II
Opac: Controlla la disponibilità qui
Interval analysis : and automatic result verification / / Günter Mayer
Interval analysis : and automatic result verification / / Günter Mayer
Autore Mayer Günter
Pubbl/distr/stampa Berlin, [Germany] ; ; Boston, [Massachusetts] : , : De Gruyter, , 2017
Descrizione fisica 1 online resource (518 pages)
Disciplina 511.42
Collana De Gruyter Studies in Mathematics
Soggetto topico Interval analysis (Mathematics)
ISBN 3-11-049805-7
3-11-049946-0
Classificazione SK 910
Formato Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione eng
Nota di contenuto Frontmatter -- Preface -- Contents -- 1. Preliminaries -- 2. Real intervals -- 3. Interval vectors, interval matrices -- 4. Expressions, P-contraction, ε-inflation -- 5. Linear systems of equations -- 6. Nonlinear systems of equations -- 7. Eigenvalue problems and related ones -- 8. Automatic differentiation -- 9. Complex intervals -- Final Remarks -- Appendix -- A. Proof of the Jordan normal form -- B. Two elementary proofs of Brouwer's fixed point theorem -- C. Proof of the Newton-Kantorovich Theorem -- D. Convergence proof of the row cyclic Jacobi method -- E. The CORDIC algorithm -- F. The symmetric solution set - a proof of Theorem 5.2.6 -- G. A short introduction to INTLAB -- Bibliography -- Symbol Index -- Author Index -- Subject Index
Record Nr. UNINA-9910792705603321
Mayer Günter  
Berlin, [Germany] ; ; Boston, [Massachusetts] : , : De Gruyter, , 2017
Materiale a stampa
Lo trovi qui: Univ. Federico II
Opac: Controlla la disponibilità qui
Interval analysis : and automatic result verification / / Günter Mayer
Interval analysis : and automatic result verification / / Günter Mayer
Autore Mayer Günter
Pubbl/distr/stampa Berlin, [Germany] ; ; Boston, [Massachusetts] : , : De Gruyter, , 2017
Descrizione fisica 1 online resource (518 pages)
Disciplina 511.42
Collana De Gruyter Studies in Mathematics
Soggetto topico Interval analysis (Mathematics)
ISBN 3-11-049805-7
3-11-049946-0
Classificazione SK 910
Formato Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione eng
Nota di contenuto Frontmatter -- Preface -- Contents -- 1. Preliminaries -- 2. Real intervals -- 3. Interval vectors, interval matrices -- 4. Expressions, P-contraction, ε-inflation -- 5. Linear systems of equations -- 6. Nonlinear systems of equations -- 7. Eigenvalue problems and related ones -- 8. Automatic differentiation -- 9. Complex intervals -- Final Remarks -- Appendix -- A. Proof of the Jordan normal form -- B. Two elementary proofs of Brouwer's fixed point theorem -- C. Proof of the Newton-Kantorovich Theorem -- D. Convergence proof of the row cyclic Jacobi method -- E. The CORDIC algorithm -- F. The symmetric solution set - a proof of Theorem 5.2.6 -- G. A short introduction to INTLAB -- Bibliography -- Symbol Index -- Author Index -- Subject Index
Record Nr. UNINA-9910808208403321
Mayer Günter  
Berlin, [Germany] ; ; Boston, [Massachusetts] : , : De Gruyter, , 2017
Materiale a stampa
Lo trovi qui: Univ. Federico II
Opac: Controlla la disponibilità qui