BLOCK KRONECKER PRODUCTS AND THE VECB OPERATOR

Ruud H. Koning; H. Neudecker; T.J. Wansbeek

doi:10.1016/0024-3795(91)90332-Q

BLOCK KRONECKER PRODUCTS AND THE VECB OPERATOR

Ruud H. Koning, H. Neudecker, T.J. Wansbeek

Onderzoeksoutput: Article › Academic › peer review

62 Citaten (Scopus)

347 Downloads (Pure)

Samenvatting

This paper is concerned with two generalizations of the Kronecker product and two related generalizations of the vec operator. It is demonstrated that they pairwise match two different kinds of matrix partition, viz. the balanced and unbalanced ones. Relevant properties are supplied and proved. A related concept, the so-called tilde transform of a balanced block matrix, is also studied. The results are illustrated with various statistical applications of the five concepts studied.

Originele taal-2	English
Pagina's (van-tot)	165-184
Aantal pagina's	20
Tijdschrift	Linear Algebra and Its Applications
Volume	149
DOI's	https://doi.org/10.1016/0024-3795(91)90332-Q
Status	Published - apr.-1991

Toegang tot document

10.1016/0024-3795(91)90332-Q

241.pdfFinal publisher's version, 11 MB

Handle.net

Permanente koppeling

Citeer dit

@article{57fb9593ccdc42d29b665c46a7486eb1,

title = "BLOCK KRONECKER PRODUCTS AND THE VECB OPERATOR",

abstract = "This paper is concerned with two generalizations of the Kronecker product and two related generalizations of the vec operator. It is demonstrated that they pairwise match two different kinds of matrix partition, viz. the balanced and unbalanced ones. Relevant properties are supplied and proved. A related concept, the so-called tilde transform of a balanced block matrix, is also studied. The results are illustrated with various statistical applications of the five concepts studied.",

keywords = "MATRICES",

author = "Koning, {Ruud H.} and H. Neudecker and T.J. Wansbeek",

note = "Rights: Copyright protected",

year = "1991",

month = apr,

doi = "10.1016/0024-3795(91)90332-Q",

language = "English",

volume = "149",

pages = "165--184",

journal = "Linear Algebra and Its Applications",

issn = "0024-3795",

}

TY - JOUR

T1 - BLOCK KRONECKER PRODUCTS AND THE VECB OPERATOR

AU - Koning, Ruud H.

AU - Neudecker, H.

AU - Wansbeek, T.J.

N1 - Rights: Copyright protected

PY - 1991/4

Y1 - 1991/4

N2 - This paper is concerned with two generalizations of the Kronecker product and two related generalizations of the vec operator. It is demonstrated that they pairwise match two different kinds of matrix partition, viz. the balanced and unbalanced ones. Relevant properties are supplied and proved. A related concept, the so-called tilde transform of a balanced block matrix, is also studied. The results are illustrated with various statistical applications of the five concepts studied.

AB - This paper is concerned with two generalizations of the Kronecker product and two related generalizations of the vec operator. It is demonstrated that they pairwise match two different kinds of matrix partition, viz. the balanced and unbalanced ones. Relevant properties are supplied and proved. A related concept, the so-called tilde transform of a balanced block matrix, is also studied. The results are illustrated with various statistical applications of the five concepts studied.

KW - MATRICES

U2 - 10.1016/0024-3795(91)90332-Q

DO - 10.1016/0024-3795(91)90332-Q

M3 - Article

SN - 0024-3795

VL - 149

SP - 165

EP - 184

JO - Linear Algebra and Its Applications

JF - Linear Algebra and Its Applications

ER -