COMPUTATIONAL PROCEDURE FOR COMPUTING NUMERICAL RANK OF A MATRIX.

M. A. Shalaby; I. Abd El-Salam; Y. Z. Boutros

COMPUTATIONAL PROCEDURE FOR COMPUTING NUMERICAL RANK OF A MATRIX.

M. A. Shalaby^*, I. Abd El-Salam, Y. Z. Boutros

^*Corresponding author for this work

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › peer-review

Abstract

A new algorithm for computing the numerical rank of a matrix is developed. The method is based on counting the number of nonzero singular values of the matrix rather than on their numerical values. The algorithm consists of three phases based on unitary coordinate transformations and the Sturm sequence property.

Original language	English (US)
Title of host publication	Unknown Host Publication Title
Editors	Antonio Luque, A.R. Figueiras Vidal, J.M.R. Delgado
Publisher	IEEE
Pages	15-18
Number of pages	4
ISBN (Print)	0444878475
State	Published - 1985
Externally published	Yes

ASJC Scopus subject areas

General Engineering

Cite this

@inproceedings{fbe478b6435a447c935a61136d030a41,

title = "COMPUTATIONAL PROCEDURE FOR COMPUTING NUMERICAL RANK OF A MATRIX.",

abstract = "A new algorithm for computing the numerical rank of a matrix is developed. The method is based on counting the number of nonzero singular values of the matrix rather than on their numerical values. The algorithm consists of three phases based on unitary coordinate transformations and the Sturm sequence property.",

author = "Shalaby, {M. A.} and El-Salam, {I. Abd} and Boutros, {Y. Z.}",

year = "1985",

language = "English (US)",

isbn = "0444878475",

publisher = "IEEE",

pages = "15--18",

editor = "Antonio Luque and {Figueiras Vidal}, A.R. and J.M.R. Delgado",

booktitle = "Unknown Host Publication Title",

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TY - GEN

T1 - COMPUTATIONAL PROCEDURE FOR COMPUTING NUMERICAL RANK OF A MATRIX.

AU - Shalaby, M. A.

AU - El-Salam, I. Abd

AU - Boutros, Y. Z.

PY - 1985

Y1 - 1985

N2 - A new algorithm for computing the numerical rank of a matrix is developed. The method is based on counting the number of nonzero singular values of the matrix rather than on their numerical values. The algorithm consists of three phases based on unitary coordinate transformations and the Sturm sequence property.

AB - A new algorithm for computing the numerical rank of a matrix is developed. The method is based on counting the number of nonzero singular values of the matrix rather than on their numerical values. The algorithm consists of three phases based on unitary coordinate transformations and the Sturm sequence property.

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M3 - Conference contribution

AN - SCOPUS:0022207133

SN - 0444878475

SP - 15

EP - 18

BT - Unknown Host Publication Title

A2 - Luque, Antonio

A2 - Figueiras Vidal, A.R.

A2 - Delgado, J.M.R.

PB - IEEE

ER -

COMPUTATIONAL PROCEDURE FOR COMPUTING NUMERICAL RANK OF A MATRIX.

Abstract

ASJC Scopus subject areas

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