000 01969nam a22002297a 4500
005 20250425112150.0
008 250416b |||||||| |||| 00| 0 eng d
020 _a9781107518940
040 _cAL
082 _223
_a512.9434
_bHORM
100 _aRoger A Horn
_9208797
245 _aMatrix Analysis
250 _a2.
260 _aNew Delhi
_bCambridge University Press
_c2020
300 _axviii,643 p.
_bPB
_c24x17 cm.
365 _aIN-1220
_b₹4508.00
_c
_d₹4508.00
_f19-03-2025
520 _aLinear algebra and matrix theory are fundamental tools in mathematical and physical science, as well as fertile fields for research. This second edition of this acclaimed text presents results of both classic and recent matrix analysis using canonical forms as a unifying theme and demonstrates their importance in a variety of applications. This thoroughly revised and updated second edition is a text for a second course on linear algebra and has more than 1,100 problems and exercises, new sections on the singular value and CS decompositions and the Weyr canonical form, expanded treatments of inverse problems and of block matrices, and much more.
521 _aTable of Contents 1. Eigenvalues, eigenvectors, and similarity 2. Unitary similarity and unitary equivalence 3. Canonical forms for similarity, and triangular factorizations 4. Hermitian matrices, symmetric matrices, and congruences 5. Norms for vectors and matrices 6. Location and perturbation of eigenvalues 7. Positive definite and semi-definite matrices 8. Positive and nonnegative matrices Appendix A. Complex numbers Appendix B. Convex sets and functions Appendix C. The fundamental theorem of algebra Appendix D. Continuous dependence of the zeroes of a polynomial on its coefficients Appendix E. Continuity, compactness, and Weierstrass’ theorem Appendix F. Canonical pairs.
650 _aMathematics
_9208468
700 _aJOHNSON (Charles R)
_9208469
942 _2ddc
_cBK
999 _c234168
_d234168