1.

Record Nr.

UNINA9910454295503321

Autore

Berman Abraham

Titolo

Completely positive matrices [[electronic resource] /] / Abraham Berman, Naomi Shaked-Monderer

Pubbl/distr/stampa

[River Edge] New Jersey, : World Scienfic, c2003

ISBN

1-281-93563-8

9786611935634

981-279-521-9

Descrizione fisica

1 online resource (ix, 206 p.  ) : ill

Altri autori (Persone)

Shaked-MondererNaomi

Disciplina

512.9/434

Soggetti

Matrices

Electronic books.

Lingua di pubblicazione

Inglese

Formato

Materiale a stampa

Livello bibliografico

Monografia

Note generali

Bibliographic Level Mode of Issuance: Monograph

Nota di bibliografia

Includes bibliographical references (p. 193-197) and index.

Nota di contenuto

ch. 1. Preliminaries. 1.1. Matrix theoretic background. 1.2. Positive semidefinite matrices. 1.3. Nonnegative matrices and M-matrices. 1.4. Schur complements. 1.5. Graphs. 1.6. Convex cones. 1.7. The PSD completion problem -- ch. 2. Complete positivity. 2.1. Definition and basic properties. 2.2. Cones of completely positive matrices. 2.3. Small matrices. 2.4. Complete positivity and the comparison matrix. 2.5. Completely positive graphs. 2.6. Completely positive matrices whose graphs are not completely positive. 2.7. Square factorizations. 2.8. Functions of completely positive matrices. 2.9. The CP completion problem -- ch. 3. CP rank. 3.1. Definition and basic results. 3.2. Completely positive matrices of a given rank. 3.3. Completely positive matrices of a given order. 3.4. When is the cp-rank equal to the rank?

Sommario/riassunto

A real matrix is positive semidefinite if it can be decomposed as A=BB[symbol]. In some applications the matrix B has to be elementwise nonnegative. If such a matrix exists, A is called completely positive. The smallest number of columns of a nonnegative matrix B such that A=BB[symbol] is known as the cp-rank of A. This invaluable book focuses on necessary conditions and sufficient conditions for complete positivity, as well as bounds for the cp-rank. The methods are combinatorial, geometric and algebraic. The required background on



nonnegative matrices, cones, graphs and Schur complements is outlined.

2.

Record Nr.

UNINA9910695426103321

Autore

D'Agostino Davi M

Titolo

Defense acquisitions [[electronic resource] ] : DOD needs to establish an implementing directive to publish information and take actions to improve DOD information on critical acquisitions positions

Pubbl/distr/stampa

Washington, DC : , : U.S. Government Accountability Office, , [2006]

Descrizione fisica

8 pages : digital, PDF file

Altri autori (Persone)

ChaplainCristina T

Soggetti

Astronautics and state - United States

United States Officials and employees Selection and appointment

Lingua di pubblicazione

Inglese

Formato

Materiale a stampa

Livello bibliografico

Monografia

Note generali

Title from title screen (viewed on Dec. 12, 2006).

Authors: Davi M. D'Agostino and Cristina Chaplain.

"September 8, 2006."

Paper version available from: U.S. Government Accountability Office, 441 G St., NW, Rm. LM, Washington, D.C. 20548.

"GAO-06-987R."

Nota di bibliografia

Includes bibliographical references.



3.

Record Nr.

UNINA9910699506503321

Autore

Kopasakis George

Titolo

Shock positioning controls design for a supersonic inlet [[electronic resource] /] / George Kopasakis and Joseph W. Connolly ; prepared for the 45th Joint Propulsion Conference and Exhibit cosponsored by the AIAA, ASME, SAE, and ASEE, Denver, Colorado, August 2-5, 2009

Pubbl/distr/stampa

Cleveland, Ohio : , : National Aeronautics and Space Administration, Glenn Research Center, , [2010]

Descrizione fisica

1 online resource (16 pages) : illustrations

Collana

NASA TM- ; ; 2010-216074

Altri autori (Persone)

ConnollyJoseph W

Soggetti

Supersonic inlets

Feedback control

Internal compression inlets

Active control

Control systems design

Design analysis

Transfer functions

Functional design specifications

Lingua di pubblicazione

Inglese

Formato

Materiale a stampa

Livello bibliografico

Monografia

Note generali

Title from title screen (viewed on Nov. 8, 2010).

"February 2010."

"AIAA-2009-5117."

Nota di bibliografia

Includes bibliographical references (page 16)