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[null,"1.","Record Nr.",null,"UNINA9910480098903321"]
[null,null,"Autore",null,"Bodewig Ewald"]
[null,null,"Titolo",null,"Matrix calculus / / by E. Bodewig"]
[null,null,"Pubbl/distr/stampa",null,"Amsterdam, Netherlands : , : North-Holland Publishing Company, , 1959"]
[{"$nulls":4},"©1959"]
[null,null,"ISBN",null,"1-4832-7498-5"]
[null,null,"Edizione",null,"[3rd ed.]"]
[null,null,"Descrizione fisica",null,"1 online resource (465 p.)"]
[null,null,"Disciplina",null,"512.896"]
[null,null,"Soggetti",null,"Matrices"]
[{"$nulls":4},"Electronic books."]
[null,null,"Lingua di pubblicazione",null,"Inglese"]
[null,null,"Formato",null,"Materiale a stampa"]
[null,null,null,"Livello bibliografico","Monografia"]
[null,null,null,"Note generali","Includes index."]
[null,null,"Nota di contenuto",null,"Front Cover; Dedication; Matrix Calculus; CopyrightPage; Table of Contents; PREFACE; PART I: MATRIX CALCULUS; CHAPTER I. VECTORS; 1.1. EQUATION OF A PLANE; CHAPTER II. MATRICES; CHAPTER 3. FURTHER APPLICATIONS; CHAPTER 4. MEASURES OF THE MAGNITUDE OF A MATRIX; CHAPTER 5. FORMS; CHAPTER 6. EIGENVALUES; 6.1. MODAL-MATRIX, SPECTRAL-MATRIX; 6.2. THE CHARACTERISTIC EQUATION; 6.3. RELATIONS BETWEEN Sp, N, |A|,λi; 6.4. EIGENROWS; 6.5. EXTREMUM PROPERTIES OF THE EIGENVALUES; 6.6. BOUNDS FOR THE EIGENVALUES; 6.7. BOUNDS FOR THE DETERMINANT; 6.8. ELEMENTARY DIVISORS; PART II: LINEAR EQUATIONS"]
[{"$nulls":4},"A. DIRECT METHODSCHAPTER 1. EXACT SOLUTIONS; 1.1. ELIMINATION I; 1.2. ELIMINATION II; CHAPTER 2. APPROXIMATE SOLUTIONS; 2.1. CONDENSATION I. TRIANGULARISATION; 2.2. CONDENSATION II. DIAGONALIZATION; 2 . 3 . THE DECOMPOSITION OF THE MATRIX INTO TWO TRIANGULAR MATRICES; 2.4. CHOICE OF ANOTHER PIVOTAL ELEMENT; 2.5. THE GAUSS-DOOLITTLE PROCESS; 2.6. A METHOD FOR PUNCHED CARDS; 2.7. THE GENERALIZED CONDENSATIONS I AND II; 2.8. AlTKENS TRIPLE PRODUCT; 2.9. ILL-CONDITIONED EQUATIONS; 2.10. NEIGHBOUR SYSTEMS; 2.11. ERRORS AND EXACTNESS OF THE SOLUTION; 2.12. COMPLEX SYSTEMS; B. ITERATIONS METHODS"]
[{"$nulls":4},"CHAPTER 3.3.1. INTRODUCTION; 3.2. PRELIMINARY VIEW; 3.3. DEVELOPMENT OF THE ITERATION METHODS; CHAPTER 4. ITERATION I; CHAPTER 5. THE CHARACTERISTIC EQUATION OF THE ITERATION PROCESSES; CHAPTER 6. TYPE OF CONVERGENCE OF THE ITERATION METHODS; CHAPTER 7. CONVERGENCE THEOREMS; 7.1. SCHMIDT-"]
[{"$nulls":4},"MISES-GEIRINGER; 7.3. ITERATION II; 7.4. ITERATION I; 7.5. GEIRINGER'S THEOREM; 7.6. THEOREM OF STEIN AND ROSENBERG; 7.7. ANOTHER THEOREM OF STEIN-ROSENBERG; 7.8. AITKEN'S NEO-SEIDELIAN ITERATION; CHAPTER 8. THE GENERAL ITERATION; CHAPTER 9. METHODS FOR AUTOMATIC MACHINES"]
[{"$nulls":4},"CHAPTER 10. SPEEDING - U P CONVERGENCE BY CHANGING MATRIX10.1. CESARl'S METHOD; 10.2. VAN DER CORPUT'S DEVICE; 10.3. THE METHOD OF ELIMINATION; 10.4. JACOBl'S METHOD; CHAPTER 11. THE ITERATED DIRECT METHODS; 11.1. CONVERGENCE OF THE METHOD; CHAPTER 12. METHODS FOR ELECTRONIC COMPUTERS; 12.1. KACMARZ'S PROCEDURE; 12.2. CIMMINO'S PROCEDURE; 12.3. LINEAR EQUATIONS AS MINIMUM CONDITION; 12.4. LINEAR EQUATIONS AS EIGENPROBLEMS; CHAPTER 13. VARIOUS QUESTIONS; 13.1. NORMALIZATION; 13.2. SCALING; 13.3. ANOTHER SCALING; 13.4. A THIRD SCALING; PART IIII: NVERSION OF MATRICES; A. DIRECT METHODS"]
[{"$nulls":4},"CHAPTER 1. CONDENSATION1.1. THE INVERSE OF A TRIANGULAR MATRIX; CHAPTER 2. FROBENIUS-SCHUR'S RELATION; CHAPTER 3. COMPLETING; CHAPTER 4. THE ADJUGATE; 4 . 1 . THE METHOD OF DETERMINANTS; B. ITERATION METHOD; C. GEODETIC MATRICES; PART IV. EIGEN PROBLEMS; CHAPTER 1. INTRODUCTORY; A. ITERATION METHODS; CHAPTER 2. THE ITERATED VECTORS {Power Method); 2.1. THE DOMINANT EIGENVALUE IS REAL; 2.2. THE DOMINANT EIGENVALUE IS COMPLEX; 2.3. OTHER CASES; 2.4. CRITICISM OF THE POWER METHOD; 2.5. HIGHER EIGENVALUES; 2.6. HIGHER EIGENVALUES ACCORDING TO AITKEN; 2.7. THE LEAST EIGENVALUES"]
[{"$nulls":4},"2.8. THE USE OF FROBENIUS'S THEOREM"]
[null,null,null,"Sommario/riassunto","Matrix Calculus"]