diagonalize

diagonalize
diagonalize diagonalize v. t. (Math.) to transform a matrix to a diagonal matrix. [WordNet 1.5]

The Collaborative International Dictionary of English. 2000.

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  • diagonalize — transitive verb ( ized; izing) Date: 1942 to put (a matrix) in a form with all the nonzero elements along the diagonal from upper left to lower right • diagonalizable adjective • diagonalization noun …   New Collegiate Dictionary

  • diagonalize — /duy ag euh nl uyz , ag nl /, v.t., diagonalized, diagonalizing. Math. to transform (a matrix) to a diagonal matrix. Also, esp. Brit., diagonalise. [1880 85; DIAGONAL + IZE] * * * …   Universalium

  • diagonalize — verb To convert a square matrix into a diagonal matrix by multiplying it by a second matrix and its inverse …   Wiktionary

  • diagonalize — di·ag·o·nal·ize …   English syllables

  • diagonalize — verb transform a matrix to a diagonal matrix • Syn: ↑diagonalise • Derivationally related forms: ↑diagonalisation (for: ↑diagonalise), ↑diagonal (for: ↑diagonalise) …   Useful english dictionary

  • Diagonalizable matrix — In linear algebra, a square matrix A is called diagonalizable if it is similar to a diagonal matrix, i.e., if there exists an invertible matrix P such that P −1AP is a diagonal matrix. If V is a finite dimensional vector space, then a linear …   Wikipedia

  • Dmrg of Heisenberg model — This example presents the infinite DMRG algorithm. It is about S = 1 antiferromagnetic Heisenberg chain, but the recipe can be applied for every translationally invariant one dimensional lattice. DMRG is a renormalization group technique because… …   Wikipedia

  • Common integrals in quantum field theory — There are common integrals in quantum field theory that appear repeatedly.[1] These integrals are all variations and generalizations of gaussian integrals to the complex plane and to multiple dimensions. Other integrals can be approximated by… …   Wikipedia

  • diagonalise — verb transform a matrix to a diagonal matrix • Syn: ↑diagonalize • Derivationally related forms: ↑diagonalisation, ↑diagonal, ↑diagonalization (for: ↑diagonalize), ↑diagonal …   Useful english dictionary

  • Diffusion MRI — Diagnostics DTI Color Map MeSH D038524 Diffusion MRI is a mag …   Wikipedia

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