LET G be a subgroup of the symmetric group S<sub>m</sub>. Denote by CG the set of all functions f: G→C. A function f∈CG is said to be positive semi-definite （p. s. d. ） if there exists c∈CG such that ...LET G be a subgroup of the symmetric group S<sub>m</sub>. Denote by CG the set of all functions f: G→C. A function f∈CG is said to be positive semi-definite （p. s. d. ） if there exists c∈CG such that for all τ∈G. In particular, the irreducible complex characters of G are p. s. d. Let C<sub>n×m</sub> denote the set of all n×m complex matrices. For f∈CG, the展开更多
In this paper, a simplified iterative regnlarization method was used to solve the operator equations of the first kind involving semi-positive definite operators, the convergence rates of regularized solutions were ob...In this paper, a simplified iterative regnlarization method was used to solve the operator equations of the first kind involving semi-positive definite operators, the convergence rates of regularized solutions were obtained and a posteriori parametr choice strategy was given.展开更多
This paper deals with the solution of a neutron transport equation with parameter δ.Usingthe theory of functional analysis,we discuss the distribution of the parameters which make the equationhave a non-zero solution...This paper deals with the solution of a neutron transport equation with parameter δ.Usingthe theory of functional analysis,we discuss the distribution of the parameters which make the equationhave a non-zero solution,and obtain a necessary and sufficient condition for the existence of thecontrol critical eigenvalue δ<sub>0</sub> which possesses a physical meaning.展开更多
文摘LET G be a subgroup of the symmetric group S<sub>m</sub>. Denote by CG the set of all functions f: G→C. A function f∈CG is said to be positive semi-definite （p. s. d. ） if there exists c∈CG such that for all τ∈G. In particular, the irreducible complex characters of G are p. s. d. Let C<sub>n×m</sub> denote the set of all n×m complex matrices. For f∈CG, the
文摘In this paper, a simplified iterative regnlarization method was used to solve the operator equations of the first kind involving semi-positive definite operators, the convergence rates of regularized solutions were obtained and a posteriori parametr choice strategy was given.
基金Project supported by the National Natural Science Foundation of China
文摘This paper deals with the solution of a neutron transport equation with parameter δ.Usingthe theory of functional analysis,we discuss the distribution of the parameters which make the equationhave a non-zero solution,and obtain a necessary and sufficient condition for the existence of thecontrol critical eigenvalue δ<sub>0</sub> which possesses a physical meaning.
