selfadjointmatrix

11AdjointandSelf-adjointMatrices.Inthischapter,Vdenotesafinitedimensionalinnerproductspace(unlessstatedother-wise).11.1Theorem(Riesz ...,,Inmathematics,aHermitianmatrix(orself-adjointmatrix)isacomplexsquarematrixthatisequaltoitsownconjugatetranspose—thatis,theelementin ...,Inmathematics,anelementofa*-algebraiscalledself-adjointifitisthesameasitsadjoint(i.e.a=a∗-displaystylea=a^*}}-displaystyle...

參考資訊如下
11 Adjoint and Self

11 Adjoint and Self-adjoint Matrices. In this chapter, V denotes a finite dimensional inner product space (unless stated other- wise). 11.1 Theorem (Riesz ...

Adjoint and self

Hermitian matrix

In mathematics, a Hermitian matrix (or self-adjoint matrix) is a complex square matrix that is equal to its own conjugate transpose—that is, the element in ...

Self

In mathematics, an element of a *-algebra is called self-adjoint if it is the same as its adjoint (i.e. a = a ∗ -displaystyle a=a^*}} -displaystyle ...

Self-Adjoint Matrix

This condition means that the array of elements in a self-adjoint matrix exhibits a reflection symmetry about the principal diagonal: elements whose positions ...

Self-Adjoint Matrix -

A matrix A for which A^(H)=A^(T)^_=A, where the conjugate transpose is denoted A^(H), A^(T) is the transpose, and z^_ is the complex conjugate.

Symmetric and self

A matrix A in Mn(F) is called symmetric if AT = A, i.e. Aij = Aji for each i, j; and self-adjoint if A∗ = A, i.e. Aij = Aji or each i, j. Note for A in.

線性代數- Self

2020年6月28日 — 這裏看起來兩個互為充份必要，但實際上敘述有一點差別。因為只要找到一個orthonormal basis 讓量出來的矩陣表示法是個self-adjoint 的矩陣，那這個線性 ...