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作者 Gohberg, I. (Israel), 1928-
書名 Matrix polynomials / I. Gohberg, P. Lancaster, L. Rodman
出版項 Philadelphia : Society for Industrial and Applied Mathematics, c2009
國際標準書號 9780898716818
0898716810
book jacket
館藏地 索書號 處理狀態 OPAC 訊息 條碼
 數學所圖書室  QA188 G64 2009    在架上    30340200512543
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
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