The restricted generalized inverses corresponding to constrained quadratic system^∗

^∗ This work of the second and fourth authors was supported by CPN, Brazil and the National Natural Science Foundationof China.

Abstract

In this paper a restricted {l}-inverse is presented, its applications to some constrained optimization problems are discussed, some interesting properties of the restricted {l}-inverse are researched. The relationship between the restricted {l}-inverse and the Boot-Duffin inverse is established as well.

Keywords:

• Generalized inverse
• restricted generalized inverse
• Boot-Duffin inverse
• constrained optimization

AMS (MOS) Subject Classification:

• 15,65K

C.R. Categories:

• G1.3

^∗ This work of the second and fourth authors was supported by CPN, Brazil and the National Natural Science Foundationof China.

^∗ This work of the second and fourth authors was supported by CPN, Brazil and the National Natural Science Foundationof China.

Notes

^∗ This work of the second and fourth authors was supported by CPN, Brazil and the National Natural Science Foundationof China.