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Pregled bibliografske jedinice broj: 1106368

Finding the closest normal structured matrix


Begović Kovač, Erna
Finding the closest normal structured matrix // Linear algebra and its applications, 617 (2021), 49-77 doi:10.1016/j.laa.2021.01.013 (međunarodna recenzija, članak, znanstveni)


CROSBI ID: 1106368 Za ispravke kontaktirajte CROSBI podršku putem web obrasca

Naslov
Finding the closest normal structured matrix

Autori
Begović Kovač, Erna

Izvornik
Linear algebra and its applications (0024-3795) 617 (2021); 49-77

Vrsta, podvrsta i kategorija rada
Radovi u časopisima, članak, znanstveni

Ključne riječi
Normal matrices ; Hamiltonian ; skew-Hamiltonian ; per-Hermitian ; perskew-Hermitian ; symplectic ; perplectic ; Jacobi-type algorithm ; Givens rotations ; diagonalization

Sažetak
Given a structured matrix A we study the problem of finding the closest normal matrix with the same structure. The structures of our interest are: Hamiltonian, skew-Hamiltonian, per-Hermitian, and perskew-Hermitian. We develop a structure-preserving Jacobi-type algorithm for finding the closest normal structured matrix and show that such algorithm converges to a stationary point of the objective function.

Izvorni jezik
Engleski

Znanstvena područja
Matematika



POVEZANOST RADA


Projekti:
HRZZ-UIP-2019-04-5200 - Dekompozicije i aproksimacije matrica i tenzora (DAMAT) (Begović Kovač, Erna, HRZZ - 2019-04) ( CroRIS)

Ustanove:
Fakultet kemijskog inženjerstva i tehnologije, Zagreb

Profili:

Avatar Url Erna Begović Kovač (autor)

Poveznice na cjeloviti tekst rada:

doi arxiv.org www.sciencedirect.com dx.doi.org

Citiraj ovu publikaciju:

Begović Kovač, Erna
Finding the closest normal structured matrix // Linear algebra and its applications, 617 (2021), 49-77 doi:10.1016/j.laa.2021.01.013 (međunarodna recenzija, članak, znanstveni)
Begović Kovač, E. (2021) Finding the closest normal structured matrix. Linear algebra and its applications, 617, 49-77 doi:10.1016/j.laa.2021.01.013.
@article{article, author = {Begovi\'{c} Kova\v{c}, Erna}, year = {2021}, pages = {49-77}, DOI = {10.1016/j.laa.2021.01.013}, keywords = {Normal matrices, Hamiltonian, skew-Hamiltonian, per-Hermitian, perskew-Hermitian, symplectic, perplectic, Jacobi-type algorithm, Givens rotations, diagonalization}, journal = {Linear algebra and its applications}, doi = {10.1016/j.laa.2021.01.013}, volume = {617}, issn = {0024-3795}, title = {Finding the closest normal structured matrix}, keyword = {Normal matrices, Hamiltonian, skew-Hamiltonian, per-Hermitian, perskew-Hermitian, symplectic, perplectic, Jacobi-type algorithm, Givens rotations, diagonalization} }
@article{article, author = {Begovi\'{c} Kova\v{c}, Erna}, year = {2021}, pages = {49-77}, DOI = {10.1016/j.laa.2021.01.013}, keywords = {Normal matrices, Hamiltonian, skew-Hamiltonian, per-Hermitian, perskew-Hermitian, symplectic, perplectic, Jacobi-type algorithm, Givens rotations, diagonalization}, journal = {Linear algebra and its applications}, doi = {10.1016/j.laa.2021.01.013}, volume = {617}, issn = {0024-3795}, title = {Finding the closest normal structured matrix}, keyword = {Normal matrices, Hamiltonian, skew-Hamiltonian, per-Hermitian, perskew-Hermitian, symplectic, perplectic, Jacobi-type algorithm, Givens rotations, diagonalization} }

Časopis indeksira:


  • Current Contents Connect (CCC)
  • Web of Science Core Collection (WoSCC)
    • Science Citation Index Expanded (SCI-EXP)
    • SCI-EXP, SSCI i/ili A&HCI
  • Scopus


Citati:





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