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  • Produktbild: Matrix Algebra
  • Produktbild: Matrix Algebra

Matrix Algebra

92,99 €

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Beschreibung

Produktdetails

Einband

Taschenbuch

Erscheinungsdatum

30.06.2010

Abbildungen

9 b/w illus.

Verlag

Cambridge University Press

Seitenzahl

466

Maße (L/B/H)

24,4/17/2,6 cm

Gewicht

798 g

Sprache

Englisch

ISBN

978-0-521-53746-9

Beschreibung

Rezension

'These authors have achieved the remarkable feat of writing a textbook of matrix algebra cunningly concealed as a structured sequence of exercises and worked answers. The book should prove popular with students intent on teaching themselves and with instructors who wish to set challenging and educative exercises. Recommended unequivocally to all parties.' Dr Stephen Pollock, Queen Mary College

Produktdetails

Einband

Taschenbuch

Erscheinungsdatum

30.06.2010

Abbildungen

9 b/w illus.

Verlag

Cambridge University Press

Seitenzahl

466

Maße (L/B/H)

24,4/17/2,6 cm

Gewicht

798 g

Sprache

Englisch

ISBN

978-0-521-53746-9

Herstelleradresse

Libri GmbH
Europaallee 1
36244 Bad Hersfeld
DE

Email: gpsr@libri.de

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  • Produktbild: Matrix Algebra
  • Produktbild: Matrix Algebra
  • Part I. Vectors: 1. Real vectors; 2 Complex vectors; Part II. Matrices: 3. Real matrices; 4. Complex matrices; Part III. Vector Spaces: 5. Complex and real vector spaces; 6. Inner-product space; 7. Hilbert space; Part IV. Rank, Inverse, and Determinant: 8. Rank; 9. Inverse; 10. Determinant; Part V. Partitioned Matrices: 11. Basic results and multiplication relations; 12. Inverses; 13. Determinants; 14. Rank (in)equalities; 15. The sweep operator; Part VI. Systems of Equations: 16. Elementary matrices; 17. Echelon matrices; 18. Gaussian elimination; 19. Homogeneous equations; 20. Nonhomogeneous equations; Part VII. Eigenvalues, Eigenvectors, and Factorizations: 21. Eigenvalues and eigenvectors; 22. Symmetric matrices; 23. Some results for triangular matrices; 24. Schur's decomposition theorem and its consequences; 25. Jordan's decomposition theorem; 26. Jordan chains and generalized eigenvectors; Part VIII. Positive (Semi)Definite and Idempotent Matrices: 27. Positive (semi)definite matrices; 28. Partitioning and positive (semi)definite matrices; 29. Idempotent matrices; Part IX. Matrix Functions: 30. Simple functions; 31. Jordan representation; 32. Matrix-polynomial representation; Part X. Kronecker Product, Vec-Operator, and Moore-Penrose Inverse: 33. The Kronecker product; 34. The vec-operator; 35. The Moore-Penrose inverse; 36. Linear vector and matrix equations; 37. The generalized inverse; Part XI. Patterned Matrices, Commutation and Duplication Matrix: 38. The commutation matrix; 39. The symmetrizer matrix; 40. The vec-operator and the duplication matrix; 41. Linear structures; Part XII. Matrix Inequalities: 42. Cauchy-Schwarz type inequalities; 43. Positive (semi)definite matrix inequalities; 44. Inequalities derived from the Schur complement; 45. Inequalities concerning eigenvalues; Part XIII. Matrix calculus: 46. Basic properties of differentials; 47. Scalar functions; 48. Vector functions; 49. Matrix functions; 50. The inverse; 51. Exponential and logarithm; 52. The determinant; 53. Jacobians; 54. Sensitivity analysis in regression models; 55. The Hessian matrix; 56. Least squares and best linear unbiased estimation; 57. Maximum likelihood estimation; 58. Inequalities and equalities.