Skip to content
DraconiticResearch
Search Sources API
203,234 studies31 sourcesUpdated 55 min ago
PreprintCC0arXiv

Graphs of Moore-Penrose inverse of matrices possessing the treeangle property

  • A. M. Encinas
  • K. Kranthi Priya
  • K. C. Sivakumar
Open at sourcePDFDOICite

Abstract

It is known that the inverse of an invertible real square matrix satisfying the treeangle property, is a treediagonal matrix. A converse statement also holds. We show that the verbatim analogues are not true for the Moore-Penrose inverse, and obtain the precise structure of graphs corresponding to the Moore-Penrose inverse of matrices possessing the treeangle property.

Related

  1. Antitonicity property of the Moore-Penrose inverse for selfadjoint operators
    Guillermina Fongi, M. Celeste Gonzalez
    arXivPreprintarXiv licenceFull textAnalysis & PDEsarXiv
  2. Additive results of the dual Moore--Penrose generalized inverse with an application to rigid-body motion estimation
    Yup Zhao, Daochang Zhang
    arXivPreprintarXiv licenceFull textNumerical analysis & scientific computingarXiv
  3. The generalized core-EP inverse of operator matrices with generalized Schur complements
    Huanyin Chen
    arXivPreprintarXiv licenceFull textAlgebra & number theoryarXiv
  4. A Note on the Drazin Inverse of 2 × 2 Block Triangular Matrices
    Ziyang Pan, Zhiping Xiong, Yingying Qin
    AxiomsPeer-reviewedCC BY 4.0General mathematicsCrossref
  5. Extremal Graphs with Prescribed Parameters for the Spectral Radius of Weighted Adjacency Matrices with Property P∗
    Swathi Shetty, B. R. Rakshith, Sayinath Udupa N. V
    arXivPreprintCC BY 4.0Full textCombinatorics & discrete mathematicsarXiv

Cite

BibTeXRIS
BibTeX
@misc{encinas2026graphs,
  title = {{Graphs of Moore-Penrose inverse of matrices possessing the treeangle property}},
  author = {A. M. Encinas and K. Kranthi Priya and K. C. Sivakumar},
  howpublished = {arXiv},
  year = {2026},
  month = sep,
  doi = {10.48550/arxiv.2609.25983},
  eprint = {2609.25983},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2609.25983},
  note = {CC0},
}
RIS
TY  - UNPB
TI  - Graphs of Moore-Penrose inverse of matrices possessing the treeangle property
AU  - A. M. Encinas
AU  - K. Kranthi Priya
AU  - K. C. Sivakumar
PY  - 2026
DA  - 2026/09/22
PB  - arXiv
DO  - 10.48550/arxiv.2609.25983
UR  - https://arxiv.org/abs/2609.25983
AB  - It is known that the inverse of an invertible real square matrix satisfying the treeangle property, is a treediagonal matrix. A converse statement also holds. We show that the verbatim analogues are not true for the Moore-Penrose inverse, and obtain the precise structure of graphs corresponding to the Moore-Penrose inverse of matrices possessing the treeangle property.
ER  -