| 版本 |
SIAM ed., [Classics ed.] |
| 說明 |
xxiv, 409 p. ; 23 cm |
| 系列 |
Classics in applied mathematics ; 58 |
|
Classics in applied mathematics ; 58
|
| 附註 |
Originally published: New York : Academic Press, 1982 |
|
Includes bibliographical references and index |
|
Part I. Monic Matrix Polynomials. Linearization and standard pairs ; Representation of monic matrix polynomials ; Multiplication and divisibility ; Spectral divisors and canonical factorization ; Perturbation and stability of divisors ; Extension problems -- Part II. Nonmonic Matrix Polynomials. Spectral properties and representations ; Applications to differential and difference equations ; Least common multiples and greatest common divisors of matrix polynomials -- Part III. Self-Adjoint Matrix Polynomials. General theory ; Factorization of self-adjoint matrix polynomials ; Further analysis of the sign characteristic ; Quadratic self-adjoint polynomials -- Part IV. Supplementary Chapters in Linear Algebra. S1. The Smith form and related problems ; S2. The matrix equation AX - XB = C ; S3. One-sided and generalized inverses ; S4. Stable invariant subspaces ; S5. Indefinite scalar product spaces ; S6. Analytic matrix functions |
| 主題 |
Matrices
|
|
Polynomials
|
| Alt Author |
Lancaster, Peter, 1929-
|
|
Rodman, L
|
|
