On the local theory of regular analytic matrix functions. (English) Zbl 0771.15008
A treatment is given for the local spectral theory of analytic matrix functions using local Jordan forms.
Reviewer: R.Sinkhorn (Houston)
MSC:
| 15A60 | Norms of matrices, numerical range, applications of functional analysis to matrix theory |
| 15A18 | Eigenvalues, singular values, and eigenvectors |
References:
| [1] | Ball, J. A.; Gohberg, I.; Rodman, L., Interpolation of Rational Matrix Functions, (Oper. Theory Adv. Appl., 45 (1990), Birkhäuser: Birkhäuser Basel) · Zbl 0835.41005 |
| [2] | Gohberg, I.; Lancaster, P.; Rodman, L., Matrix Polynomials (1982), Academic: Academic New York · Zbl 0482.15001 |
| [3] | Gohberg, I.; Lancaster, P.; Rodman, L., Invariant Subspaces of Matrices with Applications (1986), Wiley: Wiley New York · Zbl 0608.15004 |
| [4] | Gohberg, I.; Sigal, E. I., On operator generalizations of the logarithmic residue theorem and the theorem of Rouché, Math. USSR—Sb., 13, 603-625 (1971) · Zbl 0254.47046 |
| [5] | Kailath, T., Linear Systems (1980), Prentice-Hall: Prentice-Hall Englewood Cliffs, N.J · Zbl 0458.93025 |
| [6] | Wonham, W. M., Linear Multivariable Control: A Geometric Approach, (Appl. Math., 10 (1979), Springer-Verlag: Springer-Verlag New York) · Zbl 0393.93024 |
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