Toeplitz matrix

In linear algebra, a Toeplitz matrix is a square matrix with constant (negative sloping) diagonals, i.e;

In mathematical terms:

These matrices have uses in computer science because it can be shown that the addition of two Toeplitz matrices can be done in O(n) time and the matrix multiplication of two Toeplitz matrices can be done in O(nlogn) time.

The name is after Otto Toeplitz (1881-1940), a German mathematician.



In the News

Study Finds Climate Change Evidence In The Far North
Two University of Alberta scientists have contributed to an international study that has found biological change in organisms which might be linked with climate change.

Wikiseek Finds It Faster
A company called SearchMe rolls out a new tool that queries Wikipedia pages and lets humans help make the results more relevant. In Monkey Bites.

Fraud Alert!Bogus "Bonus"Checks
Background about scams that involve receipt of bonus checks in incorrect amounts or fake cashiers checks. Includes descriptions of the scams, and suggestions of how to protect yourself from them. For example, with cashier's checks the site advises insisting a check is drawn on a local bank, calling an out-of-town bank, and waiting to release merchandise until a check has cleared. From the Federal Deposit Insurance Corporation (FDIC).

Stagehand Primer
Description of the activities of unionized theater stagehands. Includes a listing of the technical crew hierarchy, safety information, explanation of different types of theater spaces (such as proscenium and trust stages), and discussions of types of stagehand activities in stage carpentry, scene shop, electrics, sound, video properties, and wardrobe. From IATSE Local 470, the local section of the International Alliance of Theatrical Stage Employees (IATSE) labor union in Wisconsin.

The Shape Of Health To Come: Customized Fitness Program Helps Endometr
While millions of Americans place fitness as one of their top New Year's resolutions to improve shape, muscle tone and overall appearance, cancer survivors have another priority -- life. Researchers at The University of Texas M. D. Anderson Cancer Center have developed a customized fitness program to help survivors of endometrial cancer - or cancer of the uterus - shed pounds and keep cancer at bay.

Hospital Epidemiologists Trace Outbreak Of Antimicrobial Resistant Org
Infection control experts at The Johns Hopkins Hospital say tighter rules governing use of a hand-held, high-pressure, water-pumping tool to wash and clean wounds should be adopted to improve the safety of wound care.

Stardust Formed Close To Sun
Samples of the material picked up during the NASA Stardust mission indicate that parts of the comet Wild 2 actually formed in an area close to the sun. Analysis suggests that some of the Stardust grains match a special type of carbonaceous material found in meterorites; hence both must have spent time in the same gas reservoir, which was close to the sun.

[Ironic] An Italian pensioner committed suicide after his wife fell in
Recalling the end of Romeo and Juliet, the 70-year-old man, Ettore, who had sat by his wife's bedside for four months after she slipped into a coma following a heart attack, finally gave up hope and gassed himself in the garage of his family home.Less than a day later, his wife, Rossana, woke up in her hospital bed in Padua and immediately asked for him.

New Plant Finds In Andes Foretell Of Ancient Climate Change
For the third time in as many years, glaciologist Lonnie Thompson has returned from an Andean ice field in Peru with samples from beds of ancient plants exposed for the first time in perhaps as much as 6,500 years. In 2002, he first stumbled across some non-fossilized plants exposed by the steadily retreating Quelccaya ice cap. Carbon dating showed that plant material was at least 5,000 years old.

Preventive Ovary Removal Linked To Early Death In Younger Women, Mayo
Death rates rise when women under 45 years old undergo bilateral ovariectomy -- surgical removal of both ovaries -- and do not receive proper hormone replacement therapy, according to a new Mayo Clinic study to be published in the October 1 issue of The Lancet Oncology. Mortality from all causes increased 1.7 times for women in this age category, and was particularly increased for estrogen-related cancers and diseases of the brain and cardiovascular system.


MP3 Music Downloads

Preview songs, Download Free Music,Burn CDs at ITunes.com
iTunes_RGB_9mm

 


Google




InformationQuickFind.com - Find Information Fast

Links