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Introduction to precise numerical methods [[electronic resource] /] / Oliver Aberth
| Introduction to precise numerical methods [[electronic resource] /] / Oliver Aberth |
| Autore | Aberth Oliver |
| Edizione | [2nd ed.] |
| Pubbl/distr/stampa | Amsterdam ; ; Boston, : Academic Press, c2007 |
| Descrizione fisica | 1 online resource (267 p.) |
| Disciplina | 518.0285 |
| Soggetto topico |
Computer science - Mathematics
Numerical analysis - Data processing |
| Soggetto genere / forma | Electronic books. |
| ISBN |
1-280-96233-X
9786610962334 0-08-047120-X |
| Formato | Materiale a stampa  |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
Acknowledgments; 1 Introduction; 1.1 Open-source software; 1.2 Calling up a program; 1.3 Log files and print files; 1.4 More on log files; 1.5 The tilde notation for printed answers; 2 Computer Arithmetics; 2.1 Floating-point arithmetic; 2.2 Variable precision floating-point arithmetic; 2.3 Interval arithmetic; 2.4 Range arithmetic; 2.5 Practical range arithmetic; 2.6 Interval arithmetic notation; 2.7 Computing standard functions in range arithmetic; 2.8 Rational arithmetic; Software Exercises A; Notes and References; 3 Classification of Numerical Computation Problems; 3.1 A knotty problem
3.2 The impossibility of untying the knot 3.3 Repercussions from nonsolvable problem 3.1; 3.4 Some solvable and nonsolvable decimal place problems; 3.5 The solvable problems handled by calc; 3.6 Another nonsolvable problem; 3.7 The trouble with discontinuous functions; Notes and References; 4 Real-Valued Functions; 4.1 Elementary functions; Software Exercises B; 5 Computing Derivatives; 5.1 Power series of elementary functions; 5.2 An example of series evaluation; 5.3 Power series for elementary functions of several variables; 5.4 A more general method of generating power series 5.5 The demo program derivSoftware Exercises C; Notes and References; 6 Computing Integrals; 6.1 Computing a definite integral; 6.2 Formal interval arithmetic; 6.3 The demo program integ for computing ordinary definite integrals; 6.4 Taylor's remainder formula generalized; 6.5 The demo program mulint for higher dimensional integrals; 6.6 The demo program imprint for computing improper integrals; Software Exercises D; Notes and References; 7 Finding Where a Function f(x) is Zero; 7.1 Obtaining a solvable problem; 7.2 Using interval arithmetic for the problem; 7.3 Newton's method 7.4 Order of convergence Software Exercises E; 8 Finding Roots of Polynomials; 8.1 Polynomials; 8.2 A bound for the roots of a polynomial; 8.3 The Bairstow method for finding roots of a real polynomial; 8.4 Bounding the error of a rational polynomial's root approximations; 8.5 Finding accurate roots for a rational or a real polynomial; 8.6 The demo program roots; Software Exercises F; Notes and References; 9 Solving n Linear Equations in n Unknowns; 9.1 Notation; 9.2 Computation problems; 9.3 A method for solving linear equations; 9.4 Computing determinants 9.5 Finding the inverse of a square matrix 9.6 The demo programs equat, r_equat, and c_equat; Software Exercises G; Notes and References; 10 Eigenvalue and Eigenvector Problems; 10.1 Finding a solution to Ax= 0 when det A= 0; 10.2 Eigenvalues and Eigenvector; 10.3 Companion matrices and Vandermonde matrices; 10.4 Finding eigenvalues and Eigenvector by Danilevsky's method; 10.5 Error bounds for Danilevsky's method; 10.6 Rational matrices; 10.7 The demo programs eigen, c_eigen, and r_eigen; Software Exercises H; 11 Problems of Linear Programming; 11.1 Linear algebra using rational arithmetic 11.2 A more efficient method for solving rational linear equations |
| Record Nr. | UNINA-9910458146303321 |
Aberth Oliver
|
||
| Amsterdam ; ; Boston, : Academic Press, c2007 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Introduction to precise numerical methods [[electronic resource] /] / Oliver Aberth
| Introduction to precise numerical methods [[electronic resource] /] / Oliver Aberth |
| Autore | Aberth Oliver |
| Edizione | [2nd ed.] |
| Pubbl/distr/stampa | Amsterdam ; ; Boston, : Academic Press, c2007 |
| Descrizione fisica | 1 online resource (267 p.) |
| Disciplina | 518.0285 |
| Soggetto topico |
Computer science - Mathematics
Numerical analysis - Data processing |
| ISBN |
1-280-96233-X
9786610962334 0-08-047120-X |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
Acknowledgments; 1 Introduction; 1.1 Open-source software; 1.2 Calling up a program; 1.3 Log files and print files; 1.4 More on log files; 1.5 The tilde notation for printed answers; 2 Computer Arithmetics; 2.1 Floating-point arithmetic; 2.2 Variable precision floating-point arithmetic; 2.3 Interval arithmetic; 2.4 Range arithmetic; 2.5 Practical range arithmetic; 2.6 Interval arithmetic notation; 2.7 Computing standard functions in range arithmetic; 2.8 Rational arithmetic; Software Exercises A; Notes and References; 3 Classification of Numerical Computation Problems; 3.1 A knotty problem
3.2 The impossibility of untying the knot 3.3 Repercussions from nonsolvable problem 3.1; 3.4 Some solvable and nonsolvable decimal place problems; 3.5 The solvable problems handled by calc; 3.6 Another nonsolvable problem; 3.7 The trouble with discontinuous functions; Notes and References; 4 Real-Valued Functions; 4.1 Elementary functions; Software Exercises B; 5 Computing Derivatives; 5.1 Power series of elementary functions; 5.2 An example of series evaluation; 5.3 Power series for elementary functions of several variables; 5.4 A more general method of generating power series 5.5 The demo program derivSoftware Exercises C; Notes and References; 6 Computing Integrals; 6.1 Computing a definite integral; 6.2 Formal interval arithmetic; 6.3 The demo program integ for computing ordinary definite integrals; 6.4 Taylor's remainder formula generalized; 6.5 The demo program mulint for higher dimensional integrals; 6.6 The demo program imprint for computing improper integrals; Software Exercises D; Notes and References; 7 Finding Where a Function f(x) is Zero; 7.1 Obtaining a solvable problem; 7.2 Using interval arithmetic for the problem; 7.3 Newton's method 7.4 Order of convergence Software Exercises E; 8 Finding Roots of Polynomials; 8.1 Polynomials; 8.2 A bound for the roots of a polynomial; 8.3 The Bairstow method for finding roots of a real polynomial; 8.4 Bounding the error of a rational polynomial's root approximations; 8.5 Finding accurate roots for a rational or a real polynomial; 8.6 The demo program roots; Software Exercises F; Notes and References; 9 Solving n Linear Equations in n Unknowns; 9.1 Notation; 9.2 Computation problems; 9.3 A method for solving linear equations; 9.4 Computing determinants 9.5 Finding the inverse of a square matrix 9.6 The demo programs equat, r_equat, and c_equat; Software Exercises G; Notes and References; 10 Eigenvalue and Eigenvector Problems; 10.1 Finding a solution to Ax= 0 when det A= 0; 10.2 Eigenvalues and Eigenvector; 10.3 Companion matrices and Vandermonde matrices; 10.4 Finding eigenvalues and Eigenvector by Danilevsky's method; 10.5 Error bounds for Danilevsky's method; 10.6 Rational matrices; 10.7 The demo programs eigen, c_eigen, and r_eigen; Software Exercises H; 11 Problems of Linear Programming; 11.1 Linear algebra using rational arithmetic 11.2 A more efficient method for solving rational linear equations |
| Record Nr. | UNINA-9910784659103321 |
|
Aberth Oliver
|
||
| Amsterdam ; ; Boston, : Academic Press, c2007 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Introduction to precise numerical methods [[electronic resource] /] / Oliver Aberth
| Introduction to precise numerical methods [[electronic resource] /] / Oliver Aberth |
| Autore | Aberth Oliver |
| Edizione | [2nd ed.] |
| Pubbl/distr/stampa | Amsterdam ; ; Boston, : Academic Press, c2007 |
| Descrizione fisica | 1 online resource (267 p.) |
| Disciplina | 518.0285 |
| Soggetto topico |
Computer science - Mathematics
Numerical analysis - Data processing |
| ISBN |
1-280-96233-X
9786610962334 0-08-047120-X |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
Acknowledgments; 1 Introduction; 1.1 Open-source software; 1.2 Calling up a program; 1.3 Log files and print files; 1.4 More on log files; 1.5 The tilde notation for printed answers; 2 Computer Arithmetics; 2.1 Floating-point arithmetic; 2.2 Variable precision floating-point arithmetic; 2.3 Interval arithmetic; 2.4 Range arithmetic; 2.5 Practical range arithmetic; 2.6 Interval arithmetic notation; 2.7 Computing standard functions in range arithmetic; 2.8 Rational arithmetic; Software Exercises A; Notes and References; 3 Classification of Numerical Computation Problems; 3.1 A knotty problem
3.2 The impossibility of untying the knot 3.3 Repercussions from nonsolvable problem 3.1; 3.4 Some solvable and nonsolvable decimal place problems; 3.5 The solvable problems handled by calc; 3.6 Another nonsolvable problem; 3.7 The trouble with discontinuous functions; Notes and References; 4 Real-Valued Functions; 4.1 Elementary functions; Software Exercises B; 5 Computing Derivatives; 5.1 Power series of elementary functions; 5.2 An example of series evaluation; 5.3 Power series for elementary functions of several variables; 5.4 A more general method of generating power series 5.5 The demo program derivSoftware Exercises C; Notes and References; 6 Computing Integrals; 6.1 Computing a definite integral; 6.2 Formal interval arithmetic; 6.3 The demo program integ for computing ordinary definite integrals; 6.4 Taylor's remainder formula generalized; 6.5 The demo program mulint for higher dimensional integrals; 6.6 The demo program imprint for computing improper integrals; Software Exercises D; Notes and References; 7 Finding Where a Function f(x) is Zero; 7.1 Obtaining a solvable problem; 7.2 Using interval arithmetic for the problem; 7.3 Newton's method 7.4 Order of convergence Software Exercises E; 8 Finding Roots of Polynomials; 8.1 Polynomials; 8.2 A bound for the roots of a polynomial; 8.3 The Bairstow method for finding roots of a real polynomial; 8.4 Bounding the error of a rational polynomial's root approximations; 8.5 Finding accurate roots for a rational or a real polynomial; 8.6 The demo program roots; Software Exercises F; Notes and References; 9 Solving n Linear Equations in n Unknowns; 9.1 Notation; 9.2 Computation problems; 9.3 A method for solving linear equations; 9.4 Computing determinants 9.5 Finding the inverse of a square matrix 9.6 The demo programs equat, r_equat, and c_equat; Software Exercises G; Notes and References; 10 Eigenvalue and Eigenvector Problems; 10.1 Finding a solution to Ax= 0 when det A= 0; 10.2 Eigenvalues and Eigenvector; 10.3 Companion matrices and Vandermonde matrices; 10.4 Finding eigenvalues and Eigenvector by Danilevsky's method; 10.5 Error bounds for Danilevsky's method; 10.6 Rational matrices; 10.7 The demo programs eigen, c_eigen, and r_eigen; Software Exercises H; 11 Problems of Linear Programming; 11.1 Linear algebra using rational arithmetic 11.2 A more efficient method for solving rational linear equations |
| Record Nr. | UNINA-9910820446203321 |
|
Aberth Oliver
|
||
| Amsterdam ; ; Boston, : Academic Press, c2007 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Introduzione al calcolo scientifico : esercizi e problemi risolti con MATLAB / A. Quarteroni, F. Saleri
| Introduzione al calcolo scientifico : esercizi e problemi risolti con MATLAB / A. Quarteroni, F. Saleri |
| Autore | Quarteroni, Alfio |
| Edizione | [3. ed] |
| Pubbl/distr/stampa | Milano, : Springer, [2006] |
| Descrizione fisica | X, 306 p. ; 24 cm. |
| Disciplina |
518.0285
518.0285536 |
| Altri autori (Persone) | Saleri, Fausto |
| Collana | Unitext |
| Soggetto topico |
Calcolo numerico - Programmi per microelaboratori
Microelaboratori - Programmi MATLAB |
| ISBN |
8847004802
9788847004801 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | ita |
| Titolo uniforme | |
| Record Nr. | UNISANNIO-MIL0700897 |
|
Quarteroni, Alfio
|
||
| Milano, : Springer, [2006] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. del Sannio | ||
| ||
La nuova guida a MATLAB, Simulink e Control Toolbox / Alberto Cavallo, Roberto Setola, Francesco Vasca
| La nuova guida a MATLAB, Simulink e Control Toolbox / Alberto Cavallo, Roberto Setola, Francesco Vasca |
| Autore | Cavallo, Alberto |
| Pubbl/distr/stampa | Napoli, : Liguori, 2002 |
| Descrizione fisica | VIII, 513 p. : ill. ; 24 cm. |
| Disciplina |
518.0285
518.0285536 |
| Altri autori (Persone) |
Setola, Roberto
Vasca, Francesco |
| Soggetto topico |
Calcolo numerico - Programmi per microelaboratori
Microelaboratori - Programmi MATLAB |
| ISBN | 8820733684 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | ita |
| Record Nr. | UNISANNIO-PUV0870736 |
|
Cavallo, Alberto
|
||
| Napoli, : Liguori, 2002 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. del Sannio | ||
| ||
MATLAB come strumento di programmazione per esercitazioni di calcolo numerico / Franca Calio, Marco Frontini
| MATLAB come strumento di programmazione per esercitazioni di calcolo numerico / Franca Calio, Marco Frontini |
| Autore | Caliò, Franca |
| Edizione | [2. ed] |
| Pubbl/distr/stampa | Milano, : Cittastudi, 1991 |
| Descrizione fisica | 1 v. (paginazione varia) ; 25 cm + 1 floppy disk. |
| Disciplina |
518.0285
518.0285536 |
| Altri autori (Persone) | Frontini, Marco |
| Collana | Linguaggi |
| Soggetto topico |
Microelaboratori - Programmi MATLAB
Calcolo numerico - Programmi per microelaboratori |
| ISBN | 8825100027 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | ita |
| Altri titoli varianti | MATLAB : esercitazioni di calcolo numerico assistite da calcolatore. - |
| Record Nr. | UNISANNIO-MIL0053661 |
|
Caliò, Franca
|
||
| Milano, : Cittastudi, 1991 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. del Sannio | ||
| ||
Matlab guide / Desmond J. Higham, Nicholas J. Higham
| Matlab guide / Desmond J. Higham, Nicholas J. Higham |
| Autore | HIGHAM, Desmond J. |
| Edizione | [2. ed] |
| Pubbl/distr/stampa | Philadelphia : SIAM, c2005 |
| Descrizione fisica | XXIII, 382 p. ; 26 cm |
| Disciplina | 518.0285(Analisi numerica. Elaborazione dei dati, applicazioni dell'elaboratore) |
| Altri autori (Persone) | HIGHAM, Nicholas J. |
| Soggetto topico |
MATLAB Analisi numerica applicata |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Record Nr. | UNISA-990005553720203316 |
|
HIGHAM, Desmond J.
|
||
| Philadelphia : SIAM, c2005 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. di Salerno | ||
| ||
Matlab guide / Desmond J. Higham, Nicholas J. Higham
| Matlab guide / Desmond J. Higham, Nicholas J. Higham |
| Autore | Higham, Desmond J. |
| Edizione | [2. ed] |
| Pubbl/distr/stampa | Philadelphia, : SIAM, c2005 |
| Descrizione fisica | XXIII, 382 p. ; 26 cm |
| Disciplina |
518.0285
518.0285536 |
| Altri autori (Persone) | Higham, Nicholas J. |
| Collana | Other titles in applied mathematics |
| Soggetto topico |
Analisi numerica - Elaborazione elettronica
Microelaboratori - Programmi MATLAB |
| ISBN |
0898715784
9780898715781 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Record Nr. | UNISANNIO-UBO2869677 |
|
Higham, Desmond J.
|
||
| Philadelphia, : SIAM, c2005 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. del Sannio | ||
| ||
Numerical computing with MATLAB / Cleve B. Moler
| Numerical computing with MATLAB / Cleve B. Moler |
| Autore | Moler, Cleve B. |
| Edizione | [Revised reprint] |
| Pubbl/distr/stampa | Philadelphia, : Siam, 2004 |
| Descrizione fisica | XI, 336 p. : ill. ; 26 cm. |
| Disciplina | 518.0285 |
| Soggetto topico |
Analisi numerica - Elaborazione elettronica
Microelaboratori - Programmi MATLAB |
| ISBN | 9780898716603 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Titolo uniforme | |
| Record Nr. | UNISANNIO-PMI0010648 |
|
Moler, Cleve B.
|
||
| Philadelphia, : Siam, 2004 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. del Sannio | ||
| ||
Numerical computing with modern fortran / Richard J. Hanson, Tim Hopkins
| Numerical computing with modern fortran / Richard J. Hanson, Tim Hopkins |
| Autore | Hanson, Richard |
| Pubbl/distr/stampa | Phladelphia : SIAM, @2013 |
| Descrizione fisica | xvi, 244 p. : ill. ; 25 cm |
| Disciplina | 518.0285 |
| Altri autori (Persone) | Hopkins, Tim |
| Soggetto non controllato |
Analisi numerica
Fortran Linguaggi di programmazione Scienze matematiche - Programmazione |
| ISBN | 978-1-611973-11-2 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Record Nr. | UNINA-990009942850403321 |
|
Hanson, Richard
|
||
| Phladelphia : SIAM, @2013 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
