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On analytic factorisation of positive hermitian matrix functions over the bidisc.

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On analytic factorisation of positive hermitian matrix functions over the bidisc. / Blower, Gordon.
In: Linear Algebra and its Applications, Vol. 295, No. 1-3, 01.07.1999, p. 149-158.

Research output: Contribution to Journal/Magazine › Journal article › peer-review

Harvard

Blower, G 1999, 'On analytic factorisation of positive hermitian matrix functions over the bidisc.', Linear Algebra and its Applications, vol. 295, no. 1-3, pp. 149-158. https://doi.org/10.1016/S0024-3795(99)00111-1

APA

Blower, G. (1999). On analytic factorisation of positive hermitian matrix functions over the bidisc. Linear Algebra and its Applications, 295(1-3), 149-158. https://doi.org/10.1016/S0024-3795(99)00111-1

Vancouver

Blower G. On analytic factorisation of positive hermitian matrix functions over the bidisc. Linear Algebra and its Applications. 1999 Jul 1;295(1-3):149-158. doi: 10.1016/S0024-3795(99)00111-1

Author

Blower, Gordon. / On analytic factorisation of positive hermitian matrix functions over the bidisc. In: Linear Algebra and its Applications. 1999 ; Vol. 295, No. 1-3. pp. 149-158.

Bibtex

@article{7492cf4c4a82407d9b247efcbdf12cc6,
title = "On analytic factorisation of positive hermitian matrix functions over the bidisc.",
abstract = "Let be a positive hermitian (Ω0) matrix-valued function on the bitorus with and . Then Ω is the L1-limit of FjFj*, where Fj is a (N×Nj) rectangular bi-analytic matrix function. A continuous and strictly positive hermitian may be factored as FF* with F an N×∞ analytic operator function.",
keywords = "Matrix factorization, Linear prediction, Analytic operator functions",
author = "Gordon Blower",
year = "1999",
month = jul,
day = "1",
doi = "10.1016/S0024-3795(99)00111-1",
language = "English",
volume = "295",
pages = "149--158",
journal = "Linear Algebra and its Applications",
issn = "0024-3795",
publisher = "Elsevier Inc.",
number = "1-3",

}

RIS

TY - JOUR

T1 - On analytic factorisation of positive hermitian matrix functions over the bidisc.

AU - Blower, Gordon

PY - 1999/7/1

Y1 - 1999/7/1

N2 - Let be a positive hermitian (Ω0) matrix-valued function on the bitorus with and . Then Ω is the L1-limit of FjFj*, where Fj is a (N×Nj) rectangular bi-analytic matrix function. A continuous and strictly positive hermitian may be factored as FF* with F an N×∞ analytic operator function.

AB - Let be a positive hermitian (Ω0) matrix-valued function on the bitorus with and . Then Ω is the L1-limit of FjFj*, where Fj is a (N×Nj) rectangular bi-analytic matrix function. A continuous and strictly positive hermitian may be factored as FF* with F an N×∞ analytic operator function.

KW - Matrix factorization

KW - Linear prediction

KW - Analytic operator functions

U2 - 10.1016/S0024-3795(99)00111-1

DO - 10.1016/S0024-3795(99)00111-1

M3 - Journal article

VL - 295

SP - 149

EP - 158

JO - Linear Algebra and its Applications

JF - Linear Algebra and its Applications

SN - 0024-3795

IS - 1-3

ER -