References
- Abdollahi , A . 2006 . The polynomial numerical hull of a matrix and algorithms for computing the numerical range . Appl. Math. Comput. , 180 : 635 – 640 .
- Bhatia , R and Šemrl , P . 1999 . Orthogonality of matrices and some distance problems . Linear Algebra Appl. , 287 : 77 – 85 .
- Boley , D . 1990 . Estimating the sensitivity of the algebraic structure of pencils with simple eigenvalue estimates . SIAM J. Matrix Anal. Appl. , 11 : 632 – 643 .
- Bonsall , FF and Duncan , J . 1971 . Numerical Ranges of Operators on Normed Spaces and of Elements of Normed Algebras , New York : London Mathematical Society Lecture Note Series, Cambridge University Press .
- Bonsall , FF and Duncan , J . 1973 . Numerical Ranges II , New York : London Mathematical Society Lecture Notes Series, Cambridge University Press .
- Boutry , G , Elad , M , Golub , GH and Milanfar , P . 2005 . The generalized eigenvalue problem for nonsquare pencils using a minimal perturbation approach . SIAM J. Matrix Anal. Appl. , 27 : 582 – 601 .
- Greenbaum , A . 2002 . Generalizations of the field of values useful in the study of polynomial functions of a matrix . Linear Algebra Appl. , 347 : 233 – 249 .
- Gustafson , KE and Rao , DKM . 1997 . Numerical Range. The Field of Values of Linear Operators and Matrices , New York : Springer-Verlag .
- Hadwin , DW , Harrison , KJ and Ward , JA . 2000 . Numerical ranges and matrix completions . Linear Algebra Appl. , 315 : 145 – 154 .
- Halmos , PR . 1982 . A Hilbert Space Problem Book , 2nd , New York : Springer-Verlag .
- Horn , RA and Johnson , CR . 1985 . Matrix Analysis , Cambridge : Cambridge University Press .
- Horn , RA and Johnson , CR . 1991 . Topics in Matrix Analysis , Cambridge : Cambridge University Press .
- James , RC . 1947 . Orthogonality and linear functionals in normed linear spaces . Trans. Amer. Math. Soc. , 61 : 265 – 292 .
- Li , C-K and Rodman , L . 1994 . Numerical range of matrix polynomials . SIAM J. Matrix Anal. Appl. , 15 : 1256 – 1265 .
- Lumer , G . 1961 . Semi-inner product spaces . Trans. Amer. Math. Soc. , 100 : 29 – 43 .
- Nevanlinna , O . 1993 . Convergence of Iterations for Linear Equations , Basel : Birkhäuser .
- Stamfli , JG and Williams , JP . 1968 . Growth condition and the numerical range in a Banach algebra . Tohoku Math. J. , 20 : 417 – 424 .
- Stewart , GW . 1994 . Perturbation theory for rectangular matrix pencils . Linear Algebra Appl. , 208/209 : 297 – 301 .
- Stewart , GW and Sun , J-Q . 1991 . Matrix Perturbation Theory , San Diego, CA : Academic Press .
- Thompson , GL and Weil , RL . 1972 . The roots of matrix pencils (Ay = λBy): Existence, calculations, and relations to game theory . Linear Algebra Appl. , 5 : 207 – 226 .