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Matrix
cdesc-Matrix.yaml
--- !ruby/object:RI::ClassDescription attributes: [] class_methods: - !ruby/object:RI::MethodSummary name: "[]" - !ruby/object:RI::MethodSummary name: column_vector - !ruby/object:RI::MethodSummary name: columns - !ruby/object:RI::MethodSummary name: diagonal - !ruby/object:RI::MethodSummary name: identity - !ruby/object:RI::MethodSummary name: new - !ruby/object:RI::MethodSummary name: row_vector - !ruby/object:RI::MethodSummary name: rows - !ruby/object:RI::MethodSummary name: scalar - !ruby/object:RI::MethodSummary name: zero comment: - !ruby/struct:SM::Flow::P body: The <tt>Matrix</tt> class represents a mathematical matrix, and provides methods for creating special-case matrices (zero, identity, diagonal, singular, vector), operating on them arithmetically and algebraically, and determining their mathematical properties (trace, rank, inverse, determinant). - !ruby/struct:SM::Flow::P body: Note that although matrices should theoretically be rectangular, this is not enforced by the class. - !ruby/struct:SM::Flow::P body: Also note that the determinant of integer matrices may be incorrectly calculated unless you also <tt>require 'mathn'</tt>. This may be fixed in the future. - !ruby/struct:SM::Flow::H level: 2 text: Method Catalogue - !ruby/struct:SM::Flow::P body: "To create a matrix:" - !ruby/object:SM::Flow::LIST contents: - !ruby/struct:SM::Flow::LI label: "*" body: <tt> Matrix[*rows] </tt> - !ruby/struct:SM::Flow::LI label: "*" body: <tt> Matrix.[](*rows) </tt> - !ruby/struct:SM::Flow::LI label: "*" body: <tt> Matrix.rows(rows, copy = true) </tt> - !ruby/struct:SM::Flow::LI label: "*" body: <tt> Matrix.columns(columns) </tt> - !ruby/struct:SM::Flow::LI label: "*" body: <tt> Matrix.diagonal(*values) </tt> - !ruby/struct:SM::Flow::LI label: "*" body: <tt> Matrix.scalar(n, value) </tt> - !ruby/struct:SM::Flow::LI label: "*" body: <tt> Matrix.scalar(n, value) </tt> - !ruby/struct:SM::Flow::LI label: "*" body: <tt> Matrix.identity(n) </tt> - !ruby/struct:SM::Flow::LI label: "*" body: <tt> Matrix.unit(n) </tt> - !ruby/struct:SM::Flow::LI label: "*" body: <tt> Matrix.I(n) </tt> - !ruby/struct:SM::Flow::LI label: "*" body: <tt> Matrix.zero(n) </tt> - !ruby/struct:SM::Flow::LI label: "*" body: <tt> Matrix.row_vector(row) </tt> - !ruby/struct:SM::Flow::LI label: "*" body: <tt> Matrix.column_vector(column) </tt> type: :BULLET - !ruby/struct:SM::Flow::P body: "To access Matrix elements/columns/rows/submatrices/properties:" - !ruby/object:SM::Flow::LIST contents: - !ruby/struct:SM::Flow::LI label: "*" body: <tt> [](i, j) </tt> - !ruby/struct:SM::Flow::LI label: "*" body: "<tt> #row_size </tt>" - !ruby/struct:SM::Flow::LI label: "*" body: "<tt> #column_size </tt>" - !ruby/struct:SM::Flow::LI label: "*" body: "<tt> #row(i) </tt>" - !ruby/struct:SM::Flow::LI label: "*" body: "<tt> #column(j) </tt>" - !ruby/struct:SM::Flow::LI label: "*" body: "<tt> #collect </tt>" - !ruby/struct:SM::Flow::LI label: "*" body: "<tt> #map </tt>" - !ruby/struct:SM::Flow::LI label: "*" body: "<tt> #minor(*param) </tt>" type: :BULLET - !ruby/struct:SM::Flow::P body: "Properties of a matrix:" - !ruby/object:SM::Flow::LIST contents: - !ruby/struct:SM::Flow::LI label: "*" body: "<tt> #regular? </tt>" - !ruby/struct:SM::Flow::LI label: "*" body: "<tt> #singular? </tt>" - !ruby/struct:SM::Flow::LI label: "*" body: "<tt> #square? </tt>" type: :BULLET - !ruby/struct:SM::Flow::P body: "Matrix arithmetic:" - !ruby/object:SM::Flow::LIST contents: - !ruby/struct:SM::Flow::LI label: "*" body: <tt> *(m) </tt> - !ruby/struct:SM::Flow::LI label: "*" body: <tt> +(m) </tt> - !ruby/struct:SM::Flow::LI label: "*" body: <tt> -(m) </tt> - !ruby/struct:SM::Flow::LI label: "*" body: "<tt> #/(m) </tt>" - !ruby/struct:SM::Flow::LI label: "*" body: "<tt> #inverse </tt>" - !ruby/struct:SM::Flow::LI label: "*" body: "<tt> #inv </tt>" - !ruby/struct:SM::Flow::LI label: "*" body: <tt> ** </tt> type: :BULLET - !ruby/struct:SM::Flow::P body: "Matrix functions:" - !ruby/object:SM::Flow::LIST contents: - !ruby/struct:SM::Flow::LI label: "*" body: "<tt> #determinant </tt>" - !ruby/struct:SM::Flow::LI label: "*" body: "<tt> #det </tt>" - !ruby/struct:SM::Flow::LI label: "*" body: "<tt> #rank </tt>" - !ruby/struct:SM::Flow::LI label: "*" body: "<tt> #trace </tt>" - !ruby/struct:SM::Flow::LI label: "*" body: "<tt> #tr </tt>" - !ruby/struct:SM::Flow::LI label: "*" body: "<tt> #transpose </tt>" - !ruby/struct:SM::Flow::LI label: "*" body: "<tt> #t </tt>" type: :BULLET - !ruby/struct:SM::Flow::P body: "Conversion to other data types:" - !ruby/object:SM::Flow::LIST contents: - !ruby/struct:SM::Flow::LI label: "*" body: "<tt> #coerce(other) </tt>" - !ruby/struct:SM::Flow::LI label: "*" body: "<tt> #row_vectors </tt>" - !ruby/struct:SM::Flow::LI label: "*" body: "<tt> #column_vectors </tt>" - !ruby/struct:SM::Flow::LI label: "*" body: "<tt> #to_a </tt>" type: :BULLET - !ruby/struct:SM::Flow::P body: "String representations:" - !ruby/object:SM::Flow::LIST contents: - !ruby/struct:SM::Flow::LI label: "*" body: "<tt> #to_s </tt>" - !ruby/struct:SM::Flow::LI label: "*" body: "<tt> #inspect </tt>" type: :BULLET constants: [] full_name: Matrix includes: - !ruby/object:RI::IncludedModule name: ExceptionForMatrix instance_methods: - !ruby/object:RI::MethodSummary name: "*" - !ruby/object:RI::MethodSummary name: "**" - !ruby/object:RI::MethodSummary name: + - !ruby/object:RI::MethodSummary name: "-" - !ruby/object:RI::MethodSummary name: / - !ruby/object:RI::MethodSummary name: == - !ruby/object:RI::MethodSummary name: "[]" - !ruby/object:RI::MethodSummary name: clone - !ruby/object:RI::MethodSummary name: coerce - !ruby/object:RI::MethodSummary name: collect - !ruby/object:RI::MethodSummary name: column - !ruby/object:RI::MethodSummary name: column_size - !ruby/object:RI::MethodSummary name: column_vectors - !ruby/object:RI::MethodSummary name: compare_by_row_vectors - !ruby/object:RI::MethodSummary name: det - !ruby/object:RI::MethodSummary name: determinant - !ruby/object:RI::MethodSummary name: eql? - !ruby/object:RI::MethodSummary name: hash - !ruby/object:RI::MethodSummary name: init_rows - !ruby/object:RI::MethodSummary name: inspect - !ruby/object:RI::MethodSummary name: inv - !ruby/object:RI::MethodSummary name: inverse - !ruby/object:RI::MethodSummary name: inverse_from - !ruby/object:RI::MethodSummary name: map - !ruby/object:RI::MethodSummary name: minor - !ruby/object:RI::MethodSummary name: rank - !ruby/object:RI::MethodSummary name: regular? - !ruby/object:RI::MethodSummary name: row - !ruby/object:RI::MethodSummary name: row_size - !ruby/object:RI::MethodSummary name: row_vectors - !ruby/object:RI::MethodSummary name: singular? - !ruby/object:RI::MethodSummary name: square? - !ruby/object:RI::MethodSummary name: t - !ruby/object:RI::MethodSummary name: to_a - !ruby/object:RI::MethodSummary name: to_s - !ruby/object:RI::MethodSummary name: tr - !ruby/object:RI::MethodSummary name: trace - !ruby/object:RI::MethodSummary name: transpose name: Matrix superclass: Object
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