### Linear Algebra

• eigen
• balancmatrix or pencil balancing
• bdiagблоковая диагонализация, обобщённые собственные векторы
• eigscalculates largest eigenvalues and eigenvectors of matrices
• pbigeigen-projection
• projspecspectral operators
• psmallspectral projection
• specсобственные значения и собственные вектора матрицы или пучка
• svasingular value approximation
• svdsingular value decomposition
• Факторизация
• cholCholesky factorization
• fullrffull rank factorization
• fullrfkfull rank factorization of A^k
• hessHessenberg form
• luLU factorization with pivoting
• polarПолярное разложение квадратной матрицы
• qrQR decomposition
• rankqrrank revealing QR factorization
• schur[ordered] Schur decomposition of matrix and pencils
• sqrootW*W' hermitian factorization
• linear
• aff2ablinear (affine) function to A,b conversion
• invmatrix inverse
• linsolvelinear equation solver
• lsqлинейное решение наименьших квадратов A*X=B с минимальной norm(X)
• pinvpseudoinverse
• matrix
• condcondition number of a matrix
• detопределитель квадратной матрицы
• orthorthogonal basis
• rankrank
• rcondinverse condition number
• rrefcomputes matrix row echelon form by lu transformations
• tracetrace
• pencil
• companioncompanion matrix
• ereduccomputes matrix column echelon form by qz transformations
• fstaircomputes pencil column echelon form by qz transformations
• gleverinverse of matrix pencil
• kroneckKronecker form of matrix pencil
• lyapLyapunov equation
• pen2eaпреобразование пучка матриц в E, A
• pencancanonical form of matrix pencil
• penlaurLaurent coefficients of matrix pencil
• randpencilrandom pencil
• rowshuffshuffle algorithm
• Kernel
• colcompcolumn compression, kernel, nullspace
• im_invinverse image
• kernelkernel, null space
• rangerange (span) of A^k
• rowcomprow compression, range
• Markov Matrices
• classmarkovrecurrent and transient classes of Markov matrix
• eigenmarkovnormalized left and right Markov eigenvectors
• genmarkovgenerates random markov matrix with recurrent and transient classes
• State-Space Matrices
• coffresolvent (cofactor method)
• nlevLeverrier's algorithm
• Subspaces
• givensGivens transformation
• householderHouseholder orthogonal reflexion matrix. Symetrical wrt a plane
• projprojection
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