| 000 | 01969nam a22002297a 4500 | ||
|---|---|---|---|
| 005 | 20250425112150.0 | ||
| 008 | 250416b |||||||| |||| 00| 0 eng d | ||
| 020 | _a9781107518940 | ||
| 040 | _cAL | ||
| 082 |
_223 _a512.9434 _bHORM |
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| 100 |
_aRoger A Horn _9208797 |
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| 245 | _aMatrix Analysis | ||
| 250 | _a2. | ||
| 260 |
_aNew Delhi _bCambridge University Press _c2020 |
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| 300 |
_axviii,643 p. _bPB _c24x17 cm. |
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| 365 |
_aIN-1220 _b₹4508.00 _c₹ _d₹4508.00 _f19-03-2025 |
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| 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 |
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| 942 |
_2ddc _cBK |
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| 999 |
_c234168 _d234168 |
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