semidefinite

[/ˌsɛmiˈdɛfɪnət/]
adjective
semidefinida
1. In mathematics and linear algebra, describing a matrix or quadratic form that is either positive semidefinite or negative semidefinite; having eigenvalues that are all non-negative or all non-positive
A positive semidefinite matrix has all eigenvalues greater than or equal to zero.
Uma matriz semidefinida positiva possui todos os autovalores maiores ou iguais a zero.
2. In optimization theory, relating to problems or constraints that involve semidefinite programming
The engineer used semidefinite optimization to solve the complex structural problem.
O engenheiro usou otimização semidefinida para resolver o problema estrutural complexo.
This is primarily technical jargon used in mathematics, linear algebra, computer science, and engineering fields. It is used identically in both Brazil and the United States in academic and professional contexts. The term is not commonly used in everyday conversation and is specific to specialized scientific discourse.
Synonyms / Sinônimos
positive semidefinitenegative semidefinitenon-negative definite
Antonyms / Antônimos
indefinitedefinitenon-semidefinite

Regional Variations

General Brazilian
semidefinida
Standard mathematical terminology used in universities and technical contexts
São Paulo
semidefinida
Used in engineering and mathematics departments
Portugal
semidefinida
Identical terminology used in Portuguese academic institutions

Related Words

matrixeigenvaluequadratic formpositive definitenegative definitesemidefinite programming

Related Idioms & Phrases

semidefinite programming problem
semidefinite matrix inequality
semidefinite relaxation
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