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In linear algebra, the adjugate or classical adjoint of a square matrix A, adj(A), is the transpose of its cofactor matrix. [ 1 ] [ 2 ] It is occasionally known as adjunct matrix , [ 3 ] [ 4 ] or "adjoint", [ 5 ] though that normally refers to a different concept, the adjoint operator which for a matrix is the conjugate transpose .
The conjugate transpose "adjoint" matrix should not be confused with the adjugate, (), which is also sometimes called adjoint. The conjugate transpose of a matrix A {\displaystyle \mathbf {A} } with real entries reduces to the transpose of A {\displaystyle \mathbf {A} } , as the conjugate of a real number is the number itself.
Pages in category "Free software programmed in C" The following 200 pages are in this category, out of approximately 633 total. This list may not reflect recent changes .
Full R4RS Scheme is supported, with a few minor and rarely encountered omissions. Interfacing to external C libraries is straightforward. Interfacing to external C libraries is straightforward. The compiler does lifetime analysis and hence does not generate as much garbage as might be expected, but global reclamation of storage is done using ...
Eigen is a high-level C++ library of template headers for linear algebra, matrix and vector operations, geometrical transformations, numerical solvers and related algorithms. . Eigen is open-source software licensed under the Mozilla Public License 2.0 since version 3.1
Specifically, adjoint or adjunction may mean: Adjoint of a linear map, also called its transpose in case of matrices; Hermitian adjoint (adjoint of a linear operator) in functional analysis; Adjoint endomorphism of a Lie algebra; Adjoint representation of a Lie group; Adjoint functors in category theory; Adjunction (field theory)
In linear algebra, an invertible complex square matrix U is unitary if its matrix inverse U −1 equals its conjugate transpose U *, that is, if = =, where I is the identity matrix.. In physics, especially in quantum mechanics, the conjugate transpose is referred to as the Hermitian adjoint of a matrix and is denoted by a dagger ( † ), so the equation above is written
GNU Common Lisp (GCL) is the GNU Project's ANSI Common Lisp compiler, an evolutionary development of Kyoto Common Lisp. It produces native object code by first generating C code and then calling a C compiler. GCL is the implementation of choice for several large projects including the mathematical tools Maxima, AXIOM, HOL88, and ACL2.