Block reflector

Block reflector

"A block reflector is an orthogonal, symmetric matrix that reverses a subspace whose dimension may be greater than one."
* see abstract here http://locus.siam.org/SINUM/volume-25/art_0725014.html

It is built out of many elementary reflectors.

It is also referred to as a triangular factor, and is a triangular matrix and they are used in the Householder transformation

LAPACK routines

Here are some of the LAPACK routines that apply to block reflectors
* "*larft" forms the triangular vector T of a block reflector H=I-VTVH.
* "*larzb" applies a block reflector or its transpose/conjugate transpose as returned by "*tzrzf" to a general matrix.
* "*larzt" forms the triangular vector T of a block reflector H=I-VTVH as returned by "*tzrzf".
* "*larfb" applies a block reflector or its transpose/conjugate transpose to a general rectangular matrix.

ee also

* Reflection (mathematics)
* Householder transformation
* Unitary matrix
* Triangular matrix


Wikimedia Foundation. 2010.

Игры ⚽ Поможем написать реферат

Look at other dictionaries:

  • Block upconverter — A block up converter (BUC) is used in the transmission (uplink) of satellite signals. It converts a band (or block ) of frequencies from a lower frequency to a higher frequency. Modern BUCs convert from the L band to Ku band, C band and Ka band.… …   Wikipedia

  • Parabolic aluminized reflector light — A Parabolic Aluminized Reflector luminaire 20 PAR cans A parabolic aluminized refle …   Wikipedia

  • Modulating retro-reflector — A modulating retro reflector (MRR) system combines an optical retro reflector and an optical modulator to allow optical communications[1] and sometimes other functions such as programmable signage.[2] Free space optical communication technology… …   Wikipedia

  • Multifaceted reflector — Left to right: MR16 with GU10 base and with GX5.3 base, MR11 with GU4 or GZ4 base MR16 and MR11 (sometimes referred to as MR 16 or MR 11, rarely MR8 or MR 8) are standard formats for halogen multifaceted reflector light bulbs made by a variety of …   Wikipedia

  • Low-noise block converter — A low noise block converter (LNB, for low noise block, or sometimes LNC, for low noise converter) is the (receiving, or downlink) antenna of what is commonly called the parabolic (actually paraboloid) satellite dish commonly used for satellite TV …   Wikipedia

  • Low Noise Block — El Bloque de Bajo Ruido o LNB, por sus siglas inglesas, es un dispositivo utilizado en la recepción de señales procedentes de satélites. Figura LNB …   Wikipedia Español

  • List of mathematics articles (B) — NOTOC B B spline B* algebra B* search algorithm B,C,K,W system BA model Ba space Babuška Lax Milgram theorem Baby Monster group Baby step giant step Babylonian mathematics Babylonian numerals Bach tensor Bach s algorithm Bachmann–Howard ordinal… …   Wikipedia

  • Parabolic antenna — A parabolic satellite communications antenna at Erdfunkstelle Raisting, the biggest facility for satellite communication in the world, in Raisting, Bavaria, Germany. It has a Cassegrain type feed. A parabolic antenna is an antenna that uses a… …   Wikipedia

  • nuclear reactor — Physics. reactor (def. 4). Also called nuclear pile. [1940 45] * * * Device that can initiate and control a self sustaining series of nuclear fission reactions. Neutrons released in one fission reaction may strike other heavy nuclei, causing them …   Universalium

  • telescope — /tel euh skohp /, n., adj., v., telescoped, telescoping. n. 1. an optical instrument for making distant objects appear larger and therefore nearer. One of the two principal forms (refracting telescope) consists essentially of an objective lens… …   Universalium

Share the article and excerpts

Direct link
Do a right-click on the link above
and select “Copy Link”