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new branch ComplexLA_develop to solve complex eigenvalues eigenvector… #48

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…s and inv etc for general (symmetry and asymmetry) Matrix

neo/cla.nim
neo/clasolve.nim
neo/private/clacommon.nim
neo/private/clareim.nim
tests/tcla.nim
tests/cla/cbase.nim
tests/cla/cpauli.nim
tests/cla/chermitian.nim
tests/cla/cdet.nim
tests/cla/cinv.nim
tests/cla/csolve.nim
tests/cla/ceig.nim

use [c|z]axpy [c|z]dotu [c|z]dotc [c|z]gemv [c|z]gemm [c|z]scal (nimblas) use [c|z]geev [c|z]gesv overload with macro(czfortran) (nimlapack) include nimlapack instead of import nimlapack to use private types template czelColMajor, czelRowMajor for cast[ptr Complex[T]] unary operator -
template compareApprox[T](x, y: complex.Complex[T]): bool

proc all*[T](v: Vector[Complex[T]];
pred: proc(i: int, x: complex.Complex[T]): bool {.closure.}): bool
proc all*[T](a: Matrix[Complex[T]];
pred: proc(i, j: int, x: complex.Complex[T]): bool {.closure.}): bool

template !=~[T](x, y: complex.Complex[T]): bool template !=~[T](v, w: Vector[Complex[T]]): bool template !=~*[T](a, b: Matrix[Complex[T]]): bool

scal for operator *='*[T](v: var Vector[Complex[T]]; c: complex.Complex[T]) scal for operator ='[T](a: var Matrix[Complex[T]]; c: complex.Complex[T])

dotu dotc[Vector[Complex[T]]] Hermitian Inner Product trace and tr and dotc[Matrix[Complex[T]]] Hilbert-Schmidt Inner Product

TODO: support and check for sparse matrix
TODO: support and check for cuda cudadense cudasparse

…s and inv etc for general (symmetry and asymmetry) Matrix

  neo/cla.nim
  neo/clasolve.nim
  neo/private/clacommon.nim
  neo/private/clareim.nim
  tests/tcla.nim
  tests/cla/cbase.nim
  tests/cla/cpauli.nim
  tests/cla/chermitian.nim
  tests/cla/cdet.nim
  tests/cla/cinv.nim
  tests/cla/csolve.nim
  tests/cla/ceig.nim

use [c|z]axpy [c|z]dotu [c|z]dotc [c|z]gemv [c|z]gemm [c|z]scal (nimblas)
use [c|z]geev [c|z]gesv overload with macro(czfortran) (nimlapack)
include nimlapack instead of import nimlapack to use private types
template czelColMajor, czelRowMajor for cast[ptr Complex[T]]
unary operator `-`
template compareApprox[T](x, y: complex.Complex[T]): bool

proc all*[T](v: Vector[Complex[T]];
  pred: proc(i: int, x: complex.Complex[T]): bool {.closure.}): bool
proc all*[T](a: Matrix[Complex[T]];
  pred: proc(i, j: int, x: complex.Complex[T]): bool {.closure.}): bool

template `!=~`*[T](x, y: complex.Complex[T]): bool
template `!=~`*[T](v, w: Vector[Complex[T]]): bool
template `!=~`*[T](a, b: Matrix[Complex[T]]): bool

scal for operator `*='*[T](v: var Vector[Complex[T]]; c: complex.Complex[T])
scal for operator `*='*[T](a: var Matrix[Complex[T]]; c: complex.Complex[T])

dotu dotc[Vector[Complex[T]]] Hermitian Inner Product
trace and tr and dotc[Matrix[Complex[T]]] Hilbert-Schmidt Inner Product

TODO: support and check for sparse matrix
TODO: support and check for cuda cudadense cudasparse
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