Class: Algebra::Vector

Inherits:
MatrixAlgebra show all
Includes:
InnerProductSpace
Defined in:
lib/algebra/matrix-algebra.rb

Constant Summary collapse

Matrices = 
{}

Class Method Summary collapse

Instance Method Summary collapse

Methods included from InnerProductSpace

#inner_product, #inner_product_complex, #norm2, #norm2_complex

Methods inherited from MatrixAlgebra

*, #*, **, #+, #-, #/, #==, #[]=, #coerce, #cofactor, #cofactor_matrix, #collect_column, collect_column, #collect_ij, collect_ij, collect_row, #collect_row, #column, #columns, convert_from, #convert_to, #csize, #diag, #display, #display_by_latex, #dsum, dsum, dsum_c, dsum_r, #dup, #e_deg, #each_column, #each_i, each_ij, #each_index, each_index, #each_j, #each_row, #flatten, #i2o, #jordan_form, #jordan_form_info, #latex, #map, matrices, #matrix, minor, #minor, #old_mul, #orthogonal_basis, #rank, regulate, #replace, #row, #row!, #rows, #rsize, #set_column, #set_row, #simplify, #sizes, #to_ary, #to_quint, #to_triplet, transpose, #types, #vectors, zero

Methods included from AlgebraCreator

#create, #superior?, #sysvar, #wedge

Methods included from GaussianElimination

#divide_c, #divide_c!, #divide_r, #divide_r!, #kernel_basis, #left_eliminate!, #left_eliminate_euclidian!, #left_inverse, #left_sweep, #mix_c, #mix_c!, #mix_r, #mix_r!, #multiply_c, #multiply_c!, #multiply_r, #multiply_r!, #sswap_r!, #step_matrix?, #swap_c, #swap_c!, #swap_r, #swap_r!

Methods included from ElementaryDivisor

#_coeff, #e_diagonalize, #e_diagonalize!, #e_inverse, #el_sweep!, #el_sweep_old!, #elementary_divisor, factorize, #horizontal_sweep!, #sq_find_nondiv, #vertical_sweep!

Methods included from Enumerable

#all?, #any?, #collecti, #sum

Methods included from AlgebraBase

#*, #**, #+, #+@, #-, #-@, #/, #==, append_features, #coerce, #devide?, #ground, #ground=, #regulate, #unit?, #unity, #unity?, #zero, #zero?

Methods included from Orthogonalization

#normalize, #orthogonalize

Constructor Details

#initialize(array, conv = false) ⇒ Vector

Returns a new instance of Vector.



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# File 'lib/algebra/matrix-algebra.rb', line 587

def initialize(array, conv = false)
  @bone0 = array
  super(array.collect{|x| [x]}, conv)
end

Class Method Details

.[](*a) ⇒ Object 



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# File 'lib/algebra/matrix-algebra.rb', line 629

def self.[](*a)
  vector(true){|i| a[i]}
end

.create(ground, n) ⇒ Object 



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# File 'lib/algebra/matrix-algebra.rb', line 615

def self.create(ground, n)
  klass = super(ground, n, 1)
  klass.sysvar(:size, n)
  klass
end

.matrix(r = size, s = 1) ⇒ Object 



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# File 'lib/algebra/matrix-algebra.rb', line 633

def self.matrix(r = size, s = 1)
  vector{|i| yield(i, 0)}
end

.vector(conv = false, &b) ⇒ Object 



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# File 'lib/algebra/matrix-algebra.rb', line 625

def self.vector(conv = false, &b)
  new((0...size).collect(&b), conv)
end

Instance Method Details

#[](*x) ⇒ Object

def to_a

column(0)

end



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# File 'lib/algebra/matrix-algebra.rb', line 604

def [](*x)
  case x.size
  when 1
    super(x[0], 0)
  when 2
    super(*x)
  else
    raise "size of index be 1 or 2"
  end
end

#each ⇒ Object 



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# File 'lib/algebra/matrix-algebra.rb', line 592

def each
  @bone0.each do |x|
    yield x
  end
end

#inspect ⇒ Object 



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# File 'lib/algebra/matrix-algebra.rb', line 637

def inspect
  @bone0.inspect
end

#size ⇒ Object 



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# File 'lib/algebra/matrix-algebra.rb', line 598

def size; self.class.size; end

#to_s ⇒ Object 



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# File 'lib/algebra/matrix-algebra.rb', line 641

def to_s
  @bone0.inspect
end

#transpose ⇒ Object 



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# File 'lib/algebra/matrix-algebra.rb', line 621

def transpose
  Algebra::Covector.create(ground, size).new(to_a)
end