1.

Record Nr.

UNINA9910480098903321

Autore

Bodewig Ewald

Titolo

Matrix calculus / / by E. Bodewig

Pubbl/distr/stampa

Amsterdam, Netherlands : , : North-Holland Publishing Company, , 1959

©1959

ISBN

1-4832-7498-5

Edizione

[3rd ed.]

Descrizione fisica

1 online resource (465 p.)

Disciplina

512.896

Soggetti

Matrices

Electronic books.

Lingua di pubblicazione

Inglese

Formato

Materiale a stampa

Livello bibliografico

Monografia

Note generali

Includes index.

Nota di contenuto

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

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

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-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

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

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

2.8. THE USE OF FROBENIUS'S THEOREM

Sommario/riassunto

Matrix Calculus



2.

Record Nr.

UNINA9910964137003321

Autore

Asfour John

Titolo

Blindfold / / John Mikhail Asfour

Pubbl/distr/stampa

Montreal ; ; Ithaca, : McGill-Queen's University Press, c2011

ISBN

9786613841704

9780773586307

077358630X

9781283529259

1283529254

9780773585607

0773585605

Edizione

[1st ed.]

Descrizione fisica

1 online resource (106 p.)

Collana

The Hugh MacLennan poetry series

Disciplina

C811/.54

Soggetti

Blindness

Lingua di pubblicazione

Inglese

Formato

Materiale a stampa

Livello bibliografico

Monografia

Note generali

Poems.

Nota di contenuto

""Cover""; ""Contents""; ""A Different World""; ""Mediterranean Eyes""; ""The Blind Shepherd""; ""Call to Mind""; ""Admitting the Light""; ""Telling Her Stories""; ""The Straw Chair""; ""Uncle""; ""Silver Threads""; ""Wings""; ""December 25th""; ""The Intruder""; ""A Sunday in June""; ""Blindfold""; ""The Cutting Edge""; ""Surgery""; ""Ultimate""; ""Anticipation""; ""A Shot in the Paper""; ""Reflections""; ""Booting the PC""; ""Confined Kisses""; ""Did Not Own Up""; ""Beyond Belief""; ""In the Metro""; ""The Interview""; ""The Curtain�s Down""; ""Division of Labour""; ""Etched on the Mind""

""Falling-Out""""Black Hole""; ""Eggs""; ""Morning Coffee""; ""Oblivious""; ""At Fifty-Five""; ""Passing Desires""; ""Repudiation""; ""Second Hand Love""; ""Short of History""; ""Waiting""; ""Casual Hand Shake""; ""We Only Meet in a Poem Now""; ""Acknowledgments""

Sommario/riassunto

A sense of exile and belonging dominates the poems, following the journey of a blind man whose life in his new land has been hampered by prejudice and barriers to communication. Exposing the rich and surprising possibilities of a life that has undergone a frightening transformation, Blindfold relates feelings of loss, displacement, and



disorientation experienced not only by the disabled but by everyone who finds themselves separated from the norm. Silver Threads He recalls the absence of sound, the impossible silence the disappearance of light. He is only aware of the movement of his mother's hand inside her purse, looking for her handkerchief. He recalls her warning not to play with unknown objects the type that explode on impact. Later, he lies in the dark remembering how she pointed out the silver threads of the morning light just the day before and he sparkles with guilt.