Linux heracles.o2switch.net 4.18.0-553.62.1.lve.el8.x86_64 #1 SMP Mon Jul 21 17:50:35 UTC 2025 x86_64
/
opt
/
alt
/
ruby27
/
share
/
ri
/
system
/
Matrix
/
EigenvalueDecomposition
/
//opt/alt/ruby27/share/ri/system/Matrix/EigenvalueDecomposition/cdesc-EigenvalueDecomposition.ri
U:RDoc::NormalClass[iI" EigenvalueDecomposition:ETI"$Matrix::EigenvalueDecomposition;TI" Object;To:RDoc::Markup::Document: @parts[o;;[ o: RDoc::Markup::Paragraph;[I"3Eigenvalues and eigenvectors of a real matrix.;To: RDoc::Markup::BlankLine o; ;[I"=Computes the eigenvalues and eigenvectors of a matrix A.;T@o; ;[I"<If A is diagonalizable, this provides matrices V and D ;TI"Jsuch that A = V*D*V.inv, where D is the diagonal matrix with entries ;TI"Bequal to the eigenvalues and V is formed by the eigenvectors.;T@o; ;[I"AIf A is symmetric, then V is orthogonal and thus A = V*D*V.t;T: @fileI"+lib/matrix/eigenvalue_decomposition.rb;T:0@omit_headings_from_table_of_contents_below0; 0; 0[ [ [ [[I" class;T[[: public[ [:protected[ [: private[[I"new;TI"+lib/matrix/eigenvalue_decomposition.rb;T[I" instance;T[[; [ [;[ [;[[I"build_eigenvectors;T@-[I" cdiv;T@-[I"d;T@-[I"diagonalize;T@-[I"eigenvalue_matrix;T@-[I"eigenvalues;T@-[I"eigenvector_matrix;T@-[I"eigenvector_matrix_inv;T@-[I"eigenvectors;T@-[I" hessenberg_to_real_schur;T@-[I"reduce_to_hessenberg;T@-[I" to_a;T@-[I" to_ary;T@-[I"tridiagonalize;T@-[I"v;T@-[I" v_inv;T@-[ [U:RDoc::Context::Section[i 0o;;[ ; 0; 0[I"+lib/matrix/eigenvalue_decomposition.rb;TI" Matrix;TcRDoc::NormalClass