Moore-Penrose inverses of Gram matrices leaving a cone invariant in an indefinite inner product space

• Autorzy: K. Appi Reddy , T. Kurmayya
• Języki publikacji: EN

Abstrakty

EN

In this paper we characterize Moore-Penrose inverses of Gram matrices leaving a cone invariant in an indefinite inner product space using the indefinite matrix multiplication. This characterization includes the acuteness (or obtuseness) of certain closed convex cones.

Słowa kluczowe

EN

Gram matrix; Moore-Penrose inverse; acute cone; Indefinite inner product space

Kategorie tematyczne

• 15A09: Matrix inversion, generalized inverses
• 46C20: Spaces with indefinite inner product (Kre{\u\i}n spaces, Pontryagin spaces, etc.)

• Wydawca: De Gruyter Open
• Czasopismo: Special Matrices
• Rocznik: 2015
• Tom: 3
• Numer: 1

Daty

otrzymano

2015-02-19

zaakceptowano

2015-07-02

online

2015-07-10

Twórcy

autor

K. Appi Reddy

• Department of Mathematics, National Institute of Technology Warangal, Warangal - 506 004, India,

autor

T. Kurmayya

• Department of Mathematics, National Institute of Technology Warangal, Warangal - 506 004, India,

Bibliografia

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Identyfikatory

DOI

10.1515/spma-2015-0013