TY - JOUR
TI - On asymptotic properties of several classes of operators
AU - Campbell, Stephen L.
AU - Gellar, R.
T2 - Proceedings of the American Mathematical Society
DA - 1977///
PY - 1977///
VL - 66
IS - 1
SP - 79–84
ER -
TY - JOUR
TI - Linear operators for which T*T and T+T* commute II
AU - Campbell, Stephen L.
AU - Geller, R.
T2 - Transactions of the American Mathematical Society
DA - 1977///
PY - 1977///
VL - 226
SP - 305–319
ER -
TY - JOUR
TI - On continuity of the Moore-Penrose and Drazin generalized inverses
AU - Campbell, Stephen L.
T2 - Linear Algebra and its Applications
AB - Let A be an m × n matrix. It is shown that if a matrix Â comes close to satisfying the definition of the Moore-Penrose generalized inverse of A,A†, then ┆Â–A†┆ is small. Norm estimates are given which make precise what is close. The Drazin generalized inverse is also considered.
DA - 1977///
PY - 1977///
DO - 10.1016/0024-3795(77)90079-9
VL - 18
IS - 1
SP - 53-57
J2 - Linear Algebra and its Applications
LA - en
OP -
SN - 0024-3795
UR - http://dx.doi.org/10.1016/0024-3795(77)90079-9
DB - Crossref
ER -
TY - JOUR
TI - Linear Systems of Differential Equations with Singular Coefficients
AU - Campbell, Stephen L.
T2 - SIAM Journal on Mathematical Analysis
AB - Differential equations of the form $A\dot x + Bx = f$ are studied where A, B are $m \times n$ matrices. Explicit solutions are derived for several cases of interest. One such case is when there exists a scalar $\lambda $ such that $\lambda A + B$ is of full rank. Another includes the case when A, B are normal matrices and one is positive semidefinite. The application of these results to linear autonomous control processes is discussed.
DA - 1977/11//
PY - 1977/11//
DO - 10.1137/0508081
VL - 8
IS - 6
SP - 1057-1066
J2 - SIAM J. Math. Anal.
LA - en
OP -
SN - 0036-1410 1095-7154
UR - http://dx.doi.org/10.1137/0508081
DB - Crossref
ER -
TY - JOUR
TI - Convolution and H‐equations for operator‐valued functions with applications to neutron transport theory
AU - Kelley, C. T.
T2 - Journal of Mathematical Physics
AB - The Wiener–Hopf factorization of certain-valued functions is related to operator-valued generalizations of Chandrasekhar’s H-functions. These functions satisfy a nonlinear system and may be computed by an iterative scheme. A general transport equation is solved in terms of these functions. The equation for steady-state transport in one space dimension with isotropic scattering and continuous energy dependence is discussed as an application.
DA - 1977/4//
PY - 1977/4//
DO - 10.1063/1.523305
VL - 18
IS - 4
SP - 764-769
J2 - Journal of Mathematical Physics
LA - en
OP -
SN - 0022-2488 1089-7658
UR - http://dx.doi.org/10.1063/1.523305
DB - Crossref
ER -